Homepage of

Prof. RNDr. Anatolij Dvurečenskij, DrSc.
director of Mathematical Institute SAS Bratislava

E-mail: dvurecen@mat.savba.sk     Telephone: ++4212/ 5249 7316, 57510 412 / lin. 412

 

 

       1972     Mathematics -- Faculty of Natural Sciences, Comenius University, Bratislava 1972

1972   – 1986 Institute of Measurement, Slovak Academy of Sciences, Bratislava

1977 CSc. Candidat scientarium (CSc. =Phd)

1979-1986 Laboratory of Computing Techniques and Automatization, Joint Institute of Nuclear Research, Dubna, Russia.

1987--Mathematical Institute, Slovak Academy of Sciences, Bratislava

1989 DrSc.  Doctor Scientarium,

1991-92  Alexander von Humboldt Fellow, Institute of Theoretical Physics, Univ. of Cologne, Cologne, Germany

1998  University professor, Comenius University

2003 the founding member of Learned Society of the Slovak Academy of Sciences

2004-2006 President of the International Quantum Structure Association, Denver, since 2006 Vice President

2006 the Scholar of  the Year in the Slovak republic

2006 the Honorary Citizen for the city of Tornaľa

2010 member of the European Academy of Sciences and Arts

Publication list of A. Dvurečenskij

CSc. thesis:Vyšetrovanie vlastností zovšeobecnených stavov na logike. (in Slovak) (Signed States Properties Exhibition on a Logic) ÚMMT SAV, Bratislava, 1976, pp. 94.

DrSc. thesis:Vybrané problémy teórie pravdepodobnosti na kvantových logikách. (in Slovak) (Selected Problems of Probability Theory on Quantum Logics) MÚ SAV, Bratislava, 1988, pp. 249.

Habilitation: Joint Distributions in Quantum Logics. MÚ SAV, Bratislava, 1992, pp. 73

Articles

[1]

A. Dvurečenskij, On some properties of transformations of a logic, Math. Slovaca 26 (1976), 131-137.

[2]

A. Dvurečenskij, Signed states on a logic, Math. Slovaca 28 (1978), 33-40.

[3]

A. Dvurečenskij, On convergence of signed states, Math. Slovaca 28 (1978), 289-295.

[4]

A. Dvurečenskij, Remark on the laws of large numbers and the central limit theorems on a logic, Trans. Eight Prague Conf. Inf. Theor. Stat. Dec. Funct. Rand. Proc., Prague, Aug. 28-Sept. 1, 1978, vol. A, (1978) pp.  157-163.

[5]

A. Dvurečenskij, Laws of large numbers and the central limit theorems on a logic, Math. Slovaca 29 (1979), 397-410.

[6]

A. Dvurečenskij, B. Riečan, On the individual ergodic theorem on a logic, Commen. Math. Univ. Carolinae 21 (1980) 385-391.

[7]

A. Dvurečenskij, On a sum of observables in a logic, Math. Slovaca 30 (1980), 187-196.

[8]

A. Dvurečenskij, S. Pulmannová, On the sum of observables in a logic, Math. Slovaca 30 (1980), 393-399.

[9]

A. Dvurečenskij, S. Pulmannová, Random measures on a logic, Demonstr. Math. 14 (1981), 305-320.

[10]

A. Dvurečenskij, On the extension properties for observables, Math. Slovaca 31 (1981), 149-153.

[11]

A. Dvurečenskij, On m-joint distribution, Math. Slovaca 31 (1981), 347-353.

[12]

A. Dvurečenskij, S. Pulmannová, On joint distribution of observables, Math. Slovaca 32 (1982), 155-166.

[13]

S. Pulmannová, A. Dvurečenskij, Stochastic processes on quantum logics, Rep. Math. Phys. 18 (1980), 303-315.

[14]

A. Dvurečenskij, S. Pulmannová, Quantum stochastic processes, In: Trans. Nineth Prague Conf. Inf. Theor. Stat. Dec. Funct. Rand. Proc., Prague, June 28-July 2, 1982, vol. A, Acad. Prague (1983) pp. 215-221.

[15]

A. Dvurečenskij, S. Pulmannová, Connection between joint distribution and compatibility, Rep. Math. Phys. 19 (1984), 349-359.

[16]

S. Pulmannová, A. Dvurečenskij, Uncertainty principle and joint distribution of observables, Ann. Inst. Henri Poincaré, Phys. Th\' eor. 42 (1985), 253-265.

[17]

A. Dvurečenskij, Gleason theorem for signed measures with infinite values, Math. Slovaca 35 (1985), 319-325.

[18]

A. Dvurečenskij, On two problems of quantum logics, Math. Slovaca 36 (1986), 253-265.

[19]

A. Dvurečenskij, L. A. Kuljukina, G.A. Ososkov, Ob ocenke plotnosti sledov v trekovych kamerach, OIJaI, 5-81-362, Dubna (1981), 1-14.

[20]

A. Dvurečenskij, L. A. Kuljukina, G.A. Ososkov, On a problem of the busy-period determination in queues with infinitely many servers, J. Appl. Prob. 21 (1984), 201-206.

[21]

A. Dvurečenskij, The busy period of order n in the GI/D/¥ queue, J. Appl. Prob. 21 (1984), 207-212.

[22]

I. Vankov, A. Dvurečenskij, G.A. Ososkov, O primenenii teorii rekurrentnych sobytij k odnoj zadace jadernoj elektroniki, OIJaI, 10-82-574, Dubna (1982), 1-5.

[23]

A. Dvurečenskij, G.A. Ososkov, Rekurrentnyje sobytija i opredelenije cisla trebovanij, obsluzonnych za period za natosti sistemy GI/GI/¥, OIJaI, 5-82-631, Dubna (1982), 1-10.

[24]

A. Dvurečenskij, O periode zanatosti diskretnoj sistemy obsluzivanija, OIJaI, P5-82-662, Dubna (1982), 1-6.

[25]

A. Dvurečenskij, O čisle nabljudaemych trebovanij, obslužonnych za period zanatosti sistemy GI/GI/¥, OIJaI, P5-82-663, Dubna (1982), 1-5.

[26]

A. Dvurečenskij, L.A. Kuljukina, G.A. Ososkov, O primenenii sistem massovogo obsluživanija s beskonečnym čislom kanalov k nekotorym zadačam fiziki vysokich energij, OIJaI, P5-82-682, Dubna (1982), 1-14.

[27]

A. Dvurečenskij, G.A. Ososkov, On a busy period of discrete GI/GI/¥ queue, JINR, E5-82-855, Dubna (1982), 1-7.

[28]

A. Dvurečenskij, G.A. Ososkov, Note on type II counter problem, Aplikace matem. 29 (1984), 237-249.

[29]

A. Dvurečenskij, G.A. Ososkov, O predelnych svojstvach obobščonnoj sistemy massovogo obsluživanija s beskonečnym čislom kanalov, Izv. AN SSSR, Techn. kiber., No. 4 (1985), 60-64. The limit properties of a generalized queueing system with an infinite number of channels, Soviet J. Comput. Systems Sci. 23 (1986), 41-46.

[30]

A. Dvurečenskij, G.A. Ososkov, On a modified counter with prolonging dead time, J. Appl. Prob. 22 (1985), 678-687.

[31]

A. Dvurečenskij, L.A. Kuljukina, G.A. Ososkov, O nekotorych statističeskich ocenkach ionizacii strimernych trekov. In: Matem. modelirovanije, programmirovanije i matematičeskije metody rešenija fizičeskich zadač, Dubna (1985) pp. 343-345.

[32]

A. Dvurečenskij, On semirecurrent events, JINR, Dubna (1984), 1-15.

[33]

A. Dvurečenskij, G.A. Ososkov, Numerical aspects concerning a class of m-semirecurrent events and their application to counter theory, JINR, E5-84-701, Dubna (1984),1-14.

[34]

A. Dvurečenskij, On the time interval between the moments of particle registrations by a modified counter with prolonging dead time, JINR, E5-84-702, Dubna (1984), 1-12.

[35]

A. Dvurečenskij, G.A. Ososkov, Ob obobščonnoj diskternoj sisteme massovogo obsluživanija s beskonečnym čislom kanalov, Izv. AN SSSR, Techn. Kiber., no. 6 (1986) ,59-63. On a generalized discrete queueing system with infinitely many servers, Soviet J. Comput. Systems Sci. 25 (1987), 42-46.

[36]

A. Dvurečenskij, Joint distribution of the busy and idle periods of a discrete modified GI/GI/c queue, Aplik. matem. 33 (1988), 68-76.

[37]

A. Dvurečenskij, A note on a modified counter with prolonging dead time, JINR, E5-85-322, Dubna (1985), 1-14.

[38]

A. Dvurečenskij, G.A. Ososkov, O primenenii teorii verojatnostej k nekotorym zadacam, voznikajuscim pri registracii castic, OIJaI, P5-85-460, Dubna (1985), 1-22.

[39]

A. Dvurečenskij, On a discrete modified M/GI/c/¥ queue, Aplik. matem. 32 (1987), 214-223.

[40]

A. Dvurečenskij, Joint distribution of observables and measures with infinite values, Demonstr. Math. 20 (1987), 121-139.

[41]

A. Dvurečenskij, G.A. Ososkov, Models of particle counters with prolonging dead time, Acta Phys. Slovaca 36 (1986), 329 - 342.

[42]

A. Dvurečenskij, On Gleason's theorem for measures with infinite values, JINR, E5-86-54, Dubna (1986), 1-10.

[43]

A. Dvurečenskij, On joint distribution in quantum logics. I. Compatible observables, Aplik. matem. 32 (1987), 427-435.

[44]

A. Dvurečenskij, On joint distribution in quantum logics. II. Noncompatible observables, Aplik. matem. 32 (1987), 436-450.

[45]

A. Dvurečenskij, On a continuous time analogue of semirecurrent events, JINR, E5-86-352 (1986), 1-10.

[46]

A. Dvurečenskij, Generalizations of Maeda's theorem, Inter. J. Theor. Phys. 25 (1986), 1117-1124.

[47]

A. Dvurečenskij, New look at the Gleason theorem for signed measures, Inter. J. Theor. Phys. 26 (1987), 295-305.

[48]

A. Dvurečenskij, Hahn-Jordan decomposition for Gleason measures, Inter. J. Theor. Phys. 26 (1987), 513-522.

[49]

A. Dvurečenskij, Note on a construction of unbounded measures on a nonseparable Hilbert space quantum logic, Ann. Inst. Henri Poincaré, Phys. Theor. 48 (1988), 297-310.

[50]

A. Dvurečenskij, B. Riečan, On joint observables for F-quantum spaces, Busefal 35 (1988), 10 -14.

[51]

A. Dvurečenskij, Converse of the Eilers-Horst theorem, Inter. J. Theor. Phys. 26 (1987), 609-612.

[52]

A. Dvurečenskij, B. Riečan, On joint distribution of observables for F-quantum spaces, Fuzzy Sets and Systems 39 (1991), 65-73.

[53]

A. Dvurečenskij, S. Pulmannová, Type II joint distribution and compatibility of observables, Demonstr. Math. 22 (1989), 479-497.

[54]

A. Dvurečenskij, B. Riečan, F. Kôpka, On a representation of observables in ordered spaces, Busefal 56 (1993), 15-19.

[55]

A. Dvurečenskij, L. Mišík, Jr., Gleason's theorem and completeness of inner product spaces, Inter. J. Theor. Phys. 27 (1988), 417-426.

[56]

A. Dvurečenskij, F. Kôpka, On the representation of observables for F-quantum spaces, Busefal 38 (1989), 24-27.

[57]

A. Dvurečenskij, B. Riečan, Fuzziness and commensurability, Fascic. Math. 19 (1989), 39-47.

[58]

A. Dvurečenskij, Completeness of inner product spaces and quantum logic of splitting subspaces, Letters Math. Phys. 15 (1988), 231-235.

[59]

A. Dvurečenskij, A state criterion of the completeness for inner product spaces, Demonstr. Math. 22 (1989), 1121-1128.

[60]

A. Dvurečenskij, F. Chovanec, Fuzzy quantum spaces and compatibility, Inter. J. Theor. Phys. 27 (1988), 1069-1082.

[61]

A. Dvurečenskij, S. Pulmannová, State on splitting subspaces and completeness of inner product spaces, Inter. J. Theor. Phys. 27 (1988), 1059-1067.

[62]

A. Dvurečenskij, States on families of subspaces of pre-Hilbert spaces, Letters Math. Phys. 17 (1989), 19-24.

[63]

B. Riečan, A. Dvurečenskij, Randomness and fuzzines. In: Proc. First Joint IFSA-EC and EURO-WG Workshop on Progress in Fuzzy Sets in Europe, Nov. 25-27, 1986, Warsaw. Eds. J. Kaczprzyk, A. Straszak, PAN, Warszawa (1988) pp. 321-326.

[64]

S. Pulmannová, A. Dvurečenskij, Sum logics and sums of unbounded observables, Rep. Math. Phys. 27 (1989), 81-91.

[65]

A. Dvurečenskij, Gleason's theorem and its applications. In: Proc. First Winter School Meas. Theory, Lipt. Ján, Jan. 10 -15, 1988, Eds.: A. Dvurečenskij, S. Pulmannová, JSMF, SAV, (1988) pp. 15-19.

[66]

A. Dvurečenskij, Frame function and completeness, Demonstr. Math. 23 (1990), 515-519.

[67]

A. Dvurečenskij, A. Tirpáková, A note on a sum of observables in F-quantum spaces and its properties, Busefal 35 (1988), 132-137.

[68]

A. Dvurečenskij, A. Tirpáková, Sum of observables in fuzzy quantum spaces, Aplik. Math. 37 (1992), 40-50.

[69]

A. Dvurečenskij, S. Pulmannová, A signed measure completeness criterion, Letters Math. Phys. 17 (1989), 253-261.

[70]

A. Dvurečenskij, A. Tirpáková, Ergodic theory on fuzzy quantum spaces, Busefal 37 (1989), 86-94.

[71]

A. Dvurečenskij, F. Chovanec, Compatibility and summability of observables in fuzzy quantum spaces, Busefal 56 (1993), 4-14.

[72]

A. Dvurečenskij, The Radon-Nikodým theorem for fuzzy probability spaces, Fuzzy Sets and Systems 45 (1992), 69-78.

[73]

A. Dvurečenskij, F. Kôpka, On representation theorems for observables in weakly complemented posets, Demonstr. Math. 23 (1990), 911-920.

[74]

A. Dvurečenskij, Frame functions, signed measure and completeness of inner product spaces, Acta Univ. Carolinae Math. Phys. 30 (1989), 41-49.

[75]

A. Dvurečenskij, On the existence of probability measures on fuzzy measurable spaces, Fuzzy Sets and Systems 43 (1991), 173-181.

[76]

A. Dvurečenskij, On a representation of observables on fuzzy measurable spaces, J. Math. Anal. Appl. 197 (1996), 579-585.

[77]

A. Dvurečenskij, F. Chovanec, F. Kôpka, On mean value additivity on fuzzy quantum spaces, Acta Math. Univ. Comenianae 58-59 (1990), 107-117.

[78]

S. Pulmannová, A. Dvurečenskij, Quantum logics, vector valued measures and representations, Ann. Inst. Henri Poincaré, Phys. Théor. 53 (1990), 83-95.

[79]

A. Dvurečenskij, T. Neubrunn, S. Pulmannová, Regular states and countable additivity on quantum logics, Proc. Amer. Math. Soc. 114 (1992), 931-938.

[80]

A. Dvurečenskij, T. Neubrunn, S. Pulmannová, Finitely additive states and completeness of inner product spaces, Found. Phys. 20 (1990), 1091-1102.

[81]

A. Dvurečenskij, Le Ba Long, On representation of fuzzy quantum posets, Acta Math. Univ. Comenianae 58-59 (1990), 239-246.

[82]

A. Dvurečenskij, Le Ba Long, Observables in fuzzy quantum posets, Acta Univ. Comenianae 58-59 (1990), 247-258.

[83]

A. Dvurečenskij, Solution to a regularity problem. In: Proc. Second Winter School Meas. Theory, Liptovský Ján, Jan. 7-12, 1990, Eds. A. Dvurečenskij, S. Pulmannová, JSMF, SAV Bratislava, (1990) pp. 224-227.

[84]

A. Dvurečenskij, Regular, finitely additive states and the completeness of inner product spaces. In: Proc. Second Winter School Meas. Theory, Liptovský Ján, Jan. 7-12, 1990, Eds. A. Dvurečenskij, S. Pulmannová, JSMF, SAV Bratislava, (1990) pp. 47-50.

[85]

A. Dvurečenskij, Finitely additive Gleason measures, Proc. Amer. Math. Soc. 115 (1992), 191-198.

[86]

S. Pulmannová, A. Dvurečenskij, On the homomorphisms of sum logics, Ann. Inst. Henri Poincaré, Phys. Théor. 54 (1991), 223-228.

[87]

A. Dvurečenskij, Regular measures and completeness of inner product spaces. In: Contributions to General Algebra 7, Hölder-Pichler-Tempsky Verlag, Vienna, B.G. Teubner Verlag, Stuttgart, (1991) pp. 137-147.

[88]

A. Dvurečenskij, Regular charges and completeness of inner product spaces, Atti. Sem. Mat. Fis. Univ. Modena 41 (1993), 269-285.

[89]

A. Dvurečenskij, Quantum logics and completeness of inner product spaces, Inter. J. Theor. Phys. 31 (1992), 1899-1907.

[90]

A. Dvurečenskij, B. Riečan, Fuzzy quantum spaces, Inter. J. General Syst. 20 (1991), 39-54.

[91]

A. Dvurečenskij, Regular measures and inner product spaces, Inter. J. Theor. Phys. 31 (1992), 889-905.

[92]

A. Dvurečenskij, Remarks on representation of fuzzy quantum posets, Math. Slovaca 44 (1994), 429-440.

[93]

A. Dvurečenskij, Gleason's Theorem and Its Applications, Kluwer Academic Press, Dordrecht/Boston/London, 1993, 325+xv pp.

[94]

A. Dvurečenskij, Gleason's theorem and completeness criteria, Inter. J. Theor. Phys. 32 (1993), 2377-2388.

[95]

P. de Lucia, A. Dvurečenskij, Decompositions of Riesz-space-valued measures on orthomodular posets, Tatra Mt. Math. Publ. 2 (1993), 229-239.

[96]

P. de Lucia, A. Dvurečenskij, Yosida-Hewitt decompositions of Riesz-space-valued measures on orthoalgebras, Tatra Mt. Math. Publ. 3 (1993), 101-110.

[97]

A. Dvurečenskij, B. Riečan, Decompositions of measures on orthoalgebras and difference posets, Inter. J. Theor. Phys. 33 (1994), 1397-1402.

[98]

A. Dvurečenskij, S. Pulmannová, Difference posets, effects, and quantum measurements, Inter. J. Theor. Phys. 33 (1994), 819-850.

[99]

A. Dvurečenskij, Tensor product of difference posets, Trans. Amer. Math. Soc. 347 (1995), 1043-1057.

[100]

A. Dvurečenskij, S. Pulmannová, Test spaces, Dacey spaces, and completeness of inner product spaces, Lett. Math. Phys. 22 (1994), 299-306.

[101]

A. Dvurečenskij, Frame functions and completeness of inner product spaces, Ann. Inst. Henri Poincaré Phys. Théor. 62 (1995), 429-438.

[102]

A. Dvurečenskij, S. Pulmannová, D-test spaces and difference posets, Rep. Math. Phys. 34 (1994), 151-170.

[103]

A. Dvurečenskij, S. Pulmannová, Tensor products of D-posets and D-test spaces, Rep. Math. Phys. 34 (1994), 251-275.

[104]

A. Dvurečenskij, Measures and ^-decomposable measures on effects of a Hilbert space, Atti Sem. Matem. Fis. Univ. Modena 45 (1997), 259-288.

[105]

A. Dvurečenskij, H. Länger, Bell-type inequalities in orthomodular lattices I. Inequalities of order 2, Inter. J. Theor. Phys. 34 (1995), 995-1024.

[106]

A. Dvurečenskij, H. Länger, Bell-type inequalities in orthomodular lattices II. Inequalities of higher order, Inter. J. Theor. Phys. 34 (1995), 1025-1036.

[107]

A. Dvurečenskij, H. Länger, Bell-type inequalities in horizontal sums of Boolean algebras, Found. Phys. 24 (1994), 1195-1202.

[108]

A. Dvurečenskij, Tensor product of difference posets or of effect algebras, Inter. J. Theor. Phys. 34 (1995), 1337-1348.

[109]

A. Dvurečenskij, P. De Lucia, E. Pap, On a decomposition theorem and its applications, Math. Japonica 44 (1996), 145-164.

[110]

A. Dvurečenskij, A note on the Nikodým boundedness theorem, Tatra Mt. Math. Publ. 8 (1996), 231-240.

[111]

A. Dvurečenskij, K. Svozil, S. Pulmannová, Partition logics, orthoalgebras and automata, Helv. Phys. Acta 68 (1995), 407-428.

[112]

A. Dvurečenskij, Remarks on Nikodým's boundedness theorem, Novi Sad J. Math. 26 (1996), 25-51.

[113]

A. Dvurečenskij, A measure theoretic characterization of inner product spaces, Tatra Mt. Math. Publ. 10 (1997), 273-280.

[114]

G. Dorfer, A. Dvurečenskij, H. Länger, Symmetric difference in orthomodular lattices, Math. Slovaca 46 (1996),  435-444.

[115]

A. Dvurečenskij, Test spaces and characterizations of quadratic spaces, Inter. J. Theor. Phys. 35 (1996), 2093-2106.

[116]

A. Dvurečenskij, Gleason's theorem and Cauchy functional equation, Inter. J. Theor. Phys. 35 (1996), 2687-2695.

[117]

A. Dvurečenskij, K. Svozil, Product of partition logics, orthoalgebras and automata, Inter. J. Theor. Phys. 35 (1996), 2377-2390.

[118]

A. Dvurečenskij, Fuzzy set representation of some quantum structures, Fuzzy Sets and Systems 101 (1999), 67-78.

[119]

A. Dvurečenskij, H.S. Kim, Connections between BCK-algebras and difference posets, Studia Logica 60 (1998), 421-439.

[120]

A. Dvurečenskij, Measures and states on BCK-algebras, Atti Sem. Mat. Fis. Univ. Modena 47 (1999), 511-528.

[121]

A. Dvurečenskij, S.S. Ahn, H.S. Kim, The Ker-Coker sequence in BCI-algebras, Demonstr. Math. 30 (1997), 844-850.

[122]

M. Duchoň, A. Dvurečenskij, P. de Lucia, Moment problem for effect algebras, Inter. J. Theor. Phys. 36 (1997), 1941-1958.

[123]

A. Dvurečenskij, Bell-type inequalities and orthomodular lattices, In: Language, Quantum, Music. Eds. M.L. Dalla Chiara et al. Kluwer Acad. Press, 1999, pp. 209-218.

[124]

A. Dvurečenskij, Solér's theorem and characterization of inner product spaces, Inter. J. Theor. Phys. 37 (1998), 23-29.

[125]

A. Dvurečenskij, M.G. Graziano, Remarks on representations of minimal clans, Tatra Mt. Math. Publ. 15 (1998), 31-53.

[126]

A. Dvurečenskij, M.G. Graziano, On representations of commutative BCK-algebras, Demonstr. Math. 32 (1999), 227-246.

[127]

A. Dvurečenskij, Fuzzy representation of effect algebras and the moment problem. In: Seventh IFSA World Congress, Prague, June 25-29, 1997, Eds M. Mares et al., Academia, Prague, 1997, pp. 146-151.

[128]

A. Dvurečenskij, M.G. Graziano, Commutative BCK-algebras and lattice ordered groups, Math. Japonica 49 (1999), 159-174.

[129]

A. Dvurečenskij, Commutative BCK-algebras and lattice ordered groups with universal property, Indian J. Math. 42 (2000), 119-152.

[130]

A. Dvurečenskij, Measures on commutative BCK-algebras, Atti Sem. Matem. Fis. Univ. Modena 49 (2001), 19-49.

[131]

A. Dvurečenskij, Ideals of commutative BCK-algebras, Ricerche Matem. 49 (2000),  241-256.

[132]

A. Dvurečenskij, M.G. Graziano, Dedekind complete commutative BCK-algebras, Order 17 (2000), 23-41.

[133]

A. Dvurečenskij, M.G. Graziano, Measures on Dedekind complete commutative BCK-algebras, Atti Sem. Matem. Fis. Univ. Modena 49 (2001), 51-72.

[134]

A. Dvurečenskij, On categorical equivalences of commutative BCK-algebras, Studia Logica 64 (2000) 21-36.

[135]

J. Neggers, A. Dvurečenskij, Hee Sik Kim, On d-fuzzy functions in d-algebras, Found. Phys 30 (2000), 1807-1816.

[136]

A. Dvurečenskij, B. Riečan, Weakly divisible MV-algebras and product, J. Math. Anal. Appl. 234 (1999), 208-222.

[137]

A. Di Nola, A. Dvurečenskij, Product MV-algebras, Multi. Val. Logic 6 (2001), 193-215.

[138]

A. Dvurečenskij, Commutative BCK-algebras with product, Demonstr. Math. 33 (2000), 1-19.

[139]

A. Dvurečenskij, F. Chovanec, E. Rybáriková, D-homomorphisms and atomic s-complete Boolean D-posets, Soft Computing 4 (2000), 9-18.

[140]

A. Dvurečenskij, Gleason's theorem in applications, In: G. Kalmbach: Quantum Measures and Spaces, Kluwer Acad. Publ., Dordrecht/Boston/London, Chapter 4, 1998, pp. 39-50.

[141]

A. Dvurečenskij, F. Chovanec, E. Rybáriková, Observables, measures, and atomic Dedekind s-complete BCK-algebras, In: Proc. EUROUSE-SC'99 Budapest, Hungary, May 25-28, 1999, Eds B. De Baets et al., Technic. Univ. of Budapest, 1999, pp. 89-94.

[142]

G. Chevalier, A. Dvurečenskij, K. Svozil, Piron's and Bell's geometric lemmas and Gleason's theorem, Found. Phys. 30 (2000),1737-1755.

[143]

A. Dvurečenskij, Loomis-Sikorski theorem for s-complete MV-algebras and l-groups, J. Austral. Math. Soc. Ser. A 68 (2000), 261-277.

[144]

A. Dvurečenskij, P. Lahti, K. Ylinen, Positive operator measures determined by their moment sequences, Rep. Math. Phys. 45 (2000), 139-146.

[145]

A. Dvurečenskij, Commutative BCK-algebras and quantum structures, Inter. J. Theor. Phys. 39 (2000), 653-664.

[146]

A. Dvurečenskij, On partial addition in pseudo MV-algebras, In: Proc. Fourth Inter. Symp. on Econ. Inform., May 6-9, 1999, Bucharest, Eds I. Smeureanu et al., INFOREC Printing House, Bucharest, 1999, pp. 952-960.

[147]

A. Dvurečenskij, S. Pulmannová, S. Salvati, Meanders in orthoposets and QMV algebras, Demonstr. Math. 34 (2001), 1-11.

[148]

A. Dvurečenskij, On Loomis-Sikorski's theorem for MV-algebras and BCK-algebras, In: Contribut. to General Algebra 12, Proc. Vienna Conf. June 3-6, 1999, Verlag Johannes Heyn, Klagenfurt, 2000, pp. 165-180.

[149]

A. Dvurečenskij, MV-observables and MV-algebras, J. Math. Anal. Appl.  256 (2001),  413-428.

[150]

A. Dvurečenskij, Was ist Quantenlogik ? In: Mathematik-Interdisciplinär. Eds. J. Flachsmeyer et al., Shaker Verlag, Aachen, 2000, pp. 103-109.

[151]

A. Dvurečenskij, Pseudo MV-algebras are intervals in l-groups, J. Austral. Math. Soc. 72 (2002), 427-445.

[152]

A. Dvurečenskij, On pseudo MV-algebras, Soft Computing 5 (2001), 347-354.

[153]

A. Dvurečenskij, S. Pulmannová, New Trends in Quantum Structures, Kluwer Academic Publ., Dordrecht, Ister Science, Bratislava, 2000.

[154]

A. Dvurečenskij, T. Vetterlein, Pseudoeffect algebras. I. Basic properties, Inter. J. Theor. Phys. 40 (2001), 685-701.

[155]

A. Dvurečenskij, T. Vetterlein, Pseudoeffect algebras. II. Group representation, Inter. J. Theor. Phys. 40 (2001), 703-726.

[156]

A. Dvurečenskij, States on pseudo MV-algebras, Studia Logica 68 (2001), 301-327.

[157]

A. Dvurečenskij, Measures on quantum structures, in: Handbook of Measure Theory, E. Pap (Editor), Elsevier Science, Amsterdam, 2002, Vol. II pp. 827-868.

[158]

A. Dvurečenskij, T. Vetterlein, Generalized pseudo-effect algebras,In:    Lectures on Soft Computing and Fuzzy Logic, Di Nola, A., Gerla, G., (Eds.), Physica-Verlag,   Springer-Verlag Co., Berlin,  2001, pp. 89-111.

[159]

A. Dvurečenskij, T. Vetterlein, Algebras in the positive cone of po-groups, Order 19 (2002), 127-146.

[160]

A. Dvurečenskij, G. Kalmbach, States on pseudo MV-algebras and the hull-kernel topology, Atti Sem. Mat. Fis. Univ. Modena 50 (2002),131-146.

[161]

A. Dvurečenskij, States and idempotents of pseudo MV-algebras, Tatra Mt. Math. Publ. 22 (2001), 79-89.

[162]

A. Dvurečenskij, T. Vetterlein, Congruences and states on pseudo-effect algebras, Found. Phys. Letters 14 (2001), 425-446.

[163]

A. Dvurečenskij, Central elements and Cantor-Bernstein's theorem for pseudo-effect alegbras, J. Austral Math. Soc. 74 (2003), 121-143

[164]

A. Dvurečenskij, A new algebraic criterion for completeness inner product spaces and the s-Riesz interpolation property, Letters Math. Phys. 58 (2001), 205-228.

[165]

A. Dvurečenskij, On effect algebras which can be covered by MV-algebras, Inter. J. Theor. Phys. 41 (2002), 221-229.

[166]

A. Dvurečenskij, T. Vetterlein, On pseudo-effect algebras which can be covered by pseudo MV-algebras, Demonstr. Math. 36 (2003), 261-282.

[167]

A. Dvurečenskij, P. Pták, Quantum logics with the Riesz interpolation property, Math. Nachr. 271 (2004), 10-14.

[168]

A. Di Nola, A. Dvurečenskij, MV-test spaces versus MV-algebras, Czechoslovak Math. J. 54 (2004), 189-203.

[169]

A. Dvurečenskij, Test spaces, pseudo-effect algebras, and tensor product of pseudo-effect algebras, Demonstr. Math. 35 (2002), 699-715.

[170]

A. Dvurečenskij, P. Lahti, K. Ylinen, The uniqueness question in the multidimensional moment problem with applications to phase space observables, Rep. Math. Phys. 50 (2002) 55-68.

[171]

A. Dvurečenskij, M.G. Graziano, An invitation to economical test spaces and effect algebras, Soft Computing  9 (2005), 463-470.

[172]

A. Dvurečenskij, T. Vetterlein, Archimedeanicity and the MacNeill completion of pseudoeffect algebras and po-groups, Algebra Universalis 50 (2004), 207-230.

[173]

A. Dvurečenskij, Blocks of pseudo-effect algebras with the Riesz interpolation property, Soft Computing 7 (2003), 441-445.

[174]

A. Dvurečenskij, States on unital partially-ordered groups, Kybernetika 38 (2002), 297-318.

[175]

A. Dvurečenskij, T. Vetterlein, Infinitary and Riesz properties for pseudoeffect algebras and po-groups, J. Austral. Math. Soc. 75 (2003), 295-311.

[176]

A. Dvurečenskij, T. Vetterlein, Non-commutative algebras and quantum structures, Inter. J. Theor. Phys. 43 (2004), 1599-1612.

[177]

A. Dvurečenskij, Perfect effect algebras are categorically equivalent with Abelian interpolation po-groups, J. Austral. Math. Soc. 82 (2007), 183-207.

[178]

A. Dvurečenskij, Product effect algebras, Inter. J. Theor. Phys. 41 (2002), 1827-1839.

[179]

A. Di Nola, A. Dvurečenskij, J. Jakubík, Good and bad infinitesimals, and states on pseudo MV-algebras,  Order 21 (2004), 293--314.

[180]

A. Dvurečenskij, P. Pták, On states on orthogonally closed subspaces of an inner product space, Letters Math. Phys. 62 (2002), 63-70.

[181]

A. Dvurečenskij, Visualization of effect algebras by automorphisms, Inter. J. Theor. Phys. 41 (2002),  2327-2334.

[182]

A. Dvurečenskij, Holland's theorem for pseudo-effect algebras, Czechoslovak Math. J. 56 (2006), 47-59.

[183]

A. Dvurečenskij, States on subspaces of inner product spaces with the Gleason property, Inter. J. Theor. Phys. 42 (2003), 1393-1401.

[184]

E. Chetcuti, A. Dvurečenskij, Boundedness of sign-preserving charges, regularity, and the completeness of inner product spaces, J. Austral. Math. Soc.  78 (2005), 199-210.

[185]

A. Dvurečenskij, Ideals of pseudo-effect algebras and their applications, Tatra Mt. Math. Publ. 27 (2003), 45-65.

[186]

E. Chetcuti, A. Dvurečenskij, A finitely additive state criterion for the completeness of inner product spaces, Letters Math. Phys. 63 (2003), 221-227.

[187]

A. Dvurečenskij, States and radicals of pseudo-effect algebras, Atti. Sem. Mat. Fis. Univ. Modena 52  (2004), 85--103.

[188]

E. Chetcuti, A. Dvurečenskij, On the range of charges on orthogonally closed subspaces of an inner product space, Inter. J. Theor. Phys. 42 (2003), 1927-1942.

[189]

E. Chetcuti, A. Dvurečenskij, The existence of finitely additive states on orthogonally closed subspaces of incomplete inner product spaces, Letters Math. Phys. 67 (2004), 75-80.

[190]

A. Dvurečenskij, Lorenzen's theorem for pseudo-effect algebras, Math. Slovaca 53 (2004), 23-42.

[191]   A. Dvurečenskij, States on pseudo-effect algebras with general comparability, Kybernetika  40 (2004),  397-420.

 

[192]  E. Chetcuti, A. Dvurečenskij, Measures on the splitting subspaces of an inner product space, Inter. J. Theor. Phys. 43 (2004), 369-384.

 

[193]  E. Chetcuti, A. Dvurečenskij, The state-space of the lattice of orthogonally closed subspaces, Glasgow Math. J.     47 (2005), 213-220.

 

[194] A. Dvurečenskij, Loomis--Sikorski theorem for monotone $\sigma$-complete effect algebras, J. Austral. Math. Soc. 79 (2005), 305--318.

 

[195] A. Di Nola, A. Dvurečenskij, M. Hyčko, C. Manara, Entropy on effect algebras with the Riesz decomposition property I: Basic properties, Kybernetika 41 (2005), 143--160.

 

[196] A. Di Nola, A. Dvurečenskij, M. Hyčko, C. Manara, Entropy on effect algebras with the Riesz decomposition property II: MV-algebras, Kybernetika  41 (2005),151--176.

 

[197] A. Dvurečenskij, J. Rachůnek,  Probabilistic averaging in bounded commutative residuated l-monoids, Discrete Math.   306   (2006), 1317--1326.

[198] A. Dvurečenskij, S. Pulmannová, Conditional probability on sigma-MV-algebras, Fuzzy Sets and Systems  155 (2005), 102--118.

[199] A. Dvurečenskij,  Unital groups and general comparability property, Inter. J. Theor. Phys.  43 (2004), 2169-2185.

[200] A. Dvurečenskij, J. Rachůnek, Bounded commutative residuated l-monoids with general comparability and states, Soft Computing 10 (2006), 212--218.

[201] E. Chetcuti, P. de Lucia, A. Dvurečenskij,  Sequential convergence of regular measures on prehilbert space logic, J. Math. Anal. Appl. 318 (2006), 199--210.

[202] D. Buhagiar, E. Chetcuti, A. Dvurečenskij,  Measure-theoretic characterizations of certain topological properties, Bull. Pol. Acad. Sci. Math.  53 (2005), 99--109.

[203] A. Dvurečenskij, P. Lahti, S. Pulmannová, K. Ylinen,  Notes on coarse grainings and functions of observables, Rep. Math. Phys.   55 (2005), 241-248.


[204] A. Dvurečenskij, J. Rach
ůnek,  Probabilistic averaging in bounded  Rl-monoids, Semigroup Forum 72 (2006), 190--206.

[205] E. Chetcuti, A. Dvurečenskij,  Recent progress on pre-Hilbert-space logics and  their measure spaces, Inter. J. Theor. Phys. 44 (2005),  2177-2189.

[206] A. Dvurečenskij, M. Hyčko,  On the existence of states for linear pseudo BL-algebras, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia 53 (2005), 93--110.

[207] A. Dvurečenskij, M. Hyčko,  Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated l-monoids, Math. Slovaca 56 (2006), 125--144.

[208] A. Dvurečenskij, J. Rachůnek, On Riečan and Bosbach states for bounded non-commutative Rl-monoids, Math. Slovaca 56 (2006), 125-144.

[209] D. Buhagiar, E. Chetcuti, A. Dvurečenskij,  Loomis-Sikorski  representation of monotone sigma-complete effect algebras, Fuzzy Sets and Systems 157 (2006), 683--690.

[210] A. Dvurečenskij, W.C. Holland,  Top varieties of generalized MV-algebras and unital lattice-ordered groups,  Comm. Algebra 35 (2007), 3370--3390.

[211] A. Dvurečenskij,  Every linear pseudo BL-algebra admits a state, Soft Computing 11 (2007), 495--501.

[212] A. Dvurečenskij, Agliano--Montagna type decomposition of linear pseudo hoops and its applications, J. Pure Appl. Algebra 211 (2007), 851--861.

[213]   A. Dvurečenskij,  New quantum structures, In: Handbook of Quantum Logic and Quantum Structures. Quantum Structures, Eds. K. Engesser, Dov M. Gabbay, D. Lehmann, Elsevier, 2007,   pp. 1-53.

[214] A. Di Nola, A. Dvurečenskij, C. Tsinakis,  On perfect GMV-algebras, Comm. Algebra 36 (2008), 1221—1249.

[215] A. Dvurečenskij,  On n-perfect GMV-algebras, Comm. Algebra 36 (2008), 221--1249. J. Algebra 319 (2008), 4921--4946.

[216] A. Dvurečenskij,  W.C. Holland,   Komori's characterization and top varieties of GMV-algebras, Algebra Universalis 60 (2009), 37--62.

[217] D. Buhagiar,  E. Chetcuti,  A. Dvurečenskij,     Algebraic and measure-theoretic properties of classes of subspaces of an inner product space, In: Handbook of Quantum Logic and Quantum Structures, Quantum Structures, Eds. K. Engesser, Dov M. Gabbay, D. Lehmann, Elsevier, 2007,  pp. 75--120.

[218] A. Dvurečenskij, F. Ventriglia, Representations of pseudo Vitali spaces and Loomis--Sikorski theorem, J. General Systems 40 (2011), 39--59.

[219] A. Dvurečenskij, F. Ventriglia,  On two versions of the Loomis--Sikorski theorem for algebraic structures, Soft Computing 12 (2008), 1027-1034.

[220] A. Dvurečenskij,  W.C. Holland,  Covers of the Abelian variety of  generalized MV-algebras, Comm. Algebra 37 (2009), 3991--4011.

[221] A. Dvurečenskij,  W.C. Holland,  Free product of unital l-groups and free product of generalized MV-algebras, Algebra Universalis, 62 (2009), 19—25. DOI 10.1007/S00012-010-0035-X

[222] A. Dvurečenskij, J. Kühr,     On the structure of linearly ordered pseudo-BCK-algebras, Archive  Math. Logic   48 (2009), 771--791.

[223] D. Buhagiar,  E. Chetcuti,  A. Dvurečenskij, On Gleason's theorem without Gleason, Found. Phys. 39 (2009), 550--558. DOI 10.1007/s10701-008-9265-6

[224] A. Di Nola, A. Dvurečenskij, State-morphism MV-algebras, Ann. Pure Appl. Logic  161 (2009), 161--173.

[225] A. Dvurečenskij, Cyclic elements and subalgebras of GMV-algebras,  Soft Computing 14 (2010), 257--264. DOI: 10.1007/s00500-009-0400-x

[226] A. Di Nola, A. Dvurečenskij, On some classes of state-morphism  MV-algebras,  Math. Slovaca 59 (2009), 517--534.

[227] A. Dvurečenskij, On states on  MV-algebras and their applications, J. Logic Comput.  21 (2011), 407--427.

[228] A. Dvurečenskij, M. Hyčko,   Bounded Boolean powers and  free product of GMV-algebras, Inter. J. Theor. Phys. 49 (2010), 1595--1611.

[229] A. Dvurečenskij, R. Giuntini, and T. Kowalski, On the structure of pseudo BL-algebras and pseudo hoops in quantum logics, Found. Phys. 40 (2010), 1519--1542.

[230] A. Dvurečenskij,  and T. Kowalski, On  decomposition of pseudo BL-algebras, Math. Slovaca 61 (2011), 307--326. DOI 10.2478/s12175-011-0014-5

 

[231] A. Dvurečenskij,  and T. Kowalski, Multipotent GBL-algebras,   Algebra Universalis 64 (2010), 25--38.

 

[232] A. Di Nola, A. Dvurečenskij, A. Lettieri, On  varieties of MV-algebras with internal states, Inter. J. Approx. Reasoning 51 (2010), 680--694.

[233] L.C. Ciungu, A. Dvurečenskij, Measures, states and de Finetti maps on pseudo-BCK algebras, Fuzzy Sets and Systems 161 (2010), 2870--2896. DOI:10.1016/j.fss.2010.03.017

[234] L.C. Ciungu, A. Dvurečenskij,  M. Hyčko, State BL-algebras,  Soft Comput. 15 (2011), 619--634. DOI: 10.1007/s00500-010-0571-5

 [235] A. Dvurečenskij, B. Riečan, On states on BL-algebras and related structures, In:  Witnessed Years. Essays in Honour of Petr Hajek. Tributes vol. 10,  Eds. P. Cintula et al. Lightning Source, Milton Keynes,  ISBN 978-1-904987-63-5, 2009, pp. 287--302.

[236] A. Di Nola, A. Dvurečenskij, A. Lettieri, Erratum   ``State-morphism MV-algebras" [Ann. Pure Appl. Logic 161 (2009) 161-173], Ann. Pure Appl. Logic 161 (2010), 1605--1607. DOI 10.1016/j.apal.2010.06.004 

[237]  A. Dvurečenskij, Subdirectly irreducible state-morphism BL-algebras, Archive Math. Logic 50 (2011), 145--160.  DOI: 10.1007/s00153-010-0206-7

[238] A. Di Nola, A. Dvurečenskij, A. Lettieri, On the  Loomis--Sikorski theorem  for MV-algebras with internal state, J. Austral. Math. Soc. 89 (2010), 317--333.

[239] A. Di Nola, A. Dvurečenskij, A. Lettieri, Stone duality type theorems for  MV-algebras with internal state, Comm. Algebra  40 (2012),  327--342.    DOI: 10.1080/00927872.2010.531336

[240] A. Dvurečenskij,  J. Rachunek, D. Šalounová,  State operators on generalizations of fuzzy structures, Fuzzy Sets and Systems 187 (2012), 58--76. DOI:  10.1016/j.fss.2011.05.023

[241] A. Dvurečenskij, Every  state on interval effect algebra is  integral, J. Math. Phys. 51 (2010), 083508--12. DOI: 10.1063/1.3467463

[242] D. Buhagiar, E. Chetcuti, A. Dvurečenskij, Loomis—Sikorski theorem  and Stone duality for effect algebras with internal state, Fuzzy Sets and Systems 172 (2011), 71--86. DOI:10.1016/j.fss.2011.01.004

[243] A. Dvurečenskij, Representation of states on effect-tribes and effect algebras by integrals, Rep. Math. Phys. 67 (2011), 63--85.

[244] A. Dvurečenskij, States on pseudo effect algebras and integrals, Found Phys. 41 (2011), 1143--1162. DOI: 10.1007/s10701-011-9537-4

[245] A. Dvurečenskij, The lattice and simplex structure of states on pseudo effect algebras, Inter. J. Theor. Phys. 50 (2011), 2758--2775.

[246] A. Dvurečenskij, Decompositions of  measures on pseudo effect algebras, Soft Computing 15 (2011), 1825--1833. DOI: 10.1007/s00500-011-0696-1

[247] A. Dvurečenskij, States on quantum structures versus integrals,  Inter. J. Theor. Phys. 50 (2011), 3761--3777.  DOI: 10.1007/s10773-011-0693-2

[248] D. Buhagiar, E. Chetcuti, and A. Dvurečenskij, Quasi-splitting subspaces and Foulis-Randall subspaces, J. Math. Phys. 52 (2011), 123508--07.    DOI:10.1063/1.3668124

[249] A. Dvurečenskij, T. Kowalski, F. Montagna,  State morphism MV-algebras, Inter. J. Approx. Reasoning 52 (2011), 1215--1228. DOI: 10.1016/j.ijar.2011.07.003

[250] M. Botur, A. Dvurečenskij, T. Kowalski, On normal-valued basic pseudo hoops, Soft Computing  16 (2012), 635--644. DOI: 10.1007/s00500-011-0763-7

[251] M. Botur, A. Dvurečenskij, State-morphism algebras - general approach, Fuzzy Sets and Systems 218 (2013), 90--102. DOI: http://dx.doi.org/10.1016/j.fss.2012.08.013

 

[252] A. Di Nola, A. Dvurečenskij, T. Flaminio, Hyperreal-valued states and averaging process for MV-algebras,

 

[253] D. Buhagiar,  E. Chetcuti,  A. Dvurečenskij, Completeness of inner product spaces and G. Cattaneo, Fund. Inform. 114 (2012),

 

[254] A. Dvurečenskij,  J. Rachunek, D. Šalounová, Erratum   ``State operators on generalizations of fuzzy structures" [Fuzzy Sets and Systems 187 (2012) 58--76], Fuzzy Sets and Systems 194 (2012), 97-–99. 10.1016/j.fss.2011.12.007

 

[255] A. Dvurečenskij, Y. Xie, Aili  Yang,  Discrete (n+1)-valued states and n-perfect  pseudo-effect algebras, Soft Computing 17 (2013), 1537–-1552. DOI: 10.1007/s00500-013-1001-2http://arxiv.org/submit/427594 (1.3.2012)

 

[256] A. Dvurečenskij, Y. Xie,   Atomic effect algebras with the Riesz decomposition property, Found. Phys. 47 (2012), 1078–-1093. DOI: 10.1007/s10701-012-9655-7 http://arxiv.org/abs/1203.0111

 

[257] A. Dvurečenskij, M. Kuková,  Observables on quantum structures, Inf. Sci.

          DOI:10.1016/j.ins.2013.09.014, http://arxiv.org/abs/1204.6460

 

[258] A. Dvurečenskij,  Smearing of observables and spectral measures on quantum structures, Found. Phys. 43  (2013), 210--224. DOI: 10.1007/s10701-012-9689-x

 

[259] A. Dvurečenskij, T. Kowalski, Kites and pseudo BL-algebras, Algebra Universalis

http://arxiv.org/abs/1207.2129

 

[260] A. Dvurečenskij,  How do l-groups and po-groups  appear in algebraic and quantum structures ?

 

[261] A. Dvurečenskij, J. Krňávek,  The lexicographic product of po-groups and n-perfect pseudo effect algebras, Inter. J. Theor. Phys. 52 (2013), 2760--2772. DOI:10.1007/s10773-013-1568-5, http://arxiv.org/abs/1211.2464

 

[262] A. Dvurečenskij, M.  Kolařík, Lexicographic product vs Q-perfect and H-perfect pseudo effect algebras, http://arxiv.org/abs/1303.0807

 

[263] A. Dvurečenskij, Y. Xie, n-perfect and Q-perfect pseudo effect algebras, Inter. J. Theor. Phys. DOI: 10.1007/s10773-013-1723-z

 

[264] A. Dvurečenskij,    H-perfect pseudo MV-algebras and their representations,  Math. Slovaca   http://arxiv.org/abs/1304.0743

 

[265] A. Dvurečenskij, J. Janda,   On bilinear forms from the point of view of generalized effect algebras, Found. Phys. 43 (2013), 1136--1152. DOI: 10.1007/s10701-013-9736-http://arxiv.org/abs/1304.0739

 

[266] A. Dvurečenskij, States on quantum and algebraic structures and their integral representation,

 

[267] R. A. Borzooei, A. Dvurečenskij, O. Zahiri, State BCK-algebras and state-morphism   BCK-algebras, http://arxiv.org/abs/1304.6963

 

[268]  A. Dvurečenskij, Kite pseudo effect algebras, Found. Phys. DOI: 10.1007/s10701-013-9748-y http://arxiv.org/abs/1306.0304, Found. Phys.

 

[269] A. Dvurečenskij, W.Ch. Holland, Some remarks on kite pseudo effect algebras, Inter. J. Theor. Phys. http://arxiv.org/abs/1308.6172

 

 

 

Monographs:

[93]

A. Dvurečenskij, Gleason's Theorem and Its Applications, Kluwer Academic Publishers, Dordrecht, Boston, London, 1993, 325 + xv pp.

[l53]

A. Dvurečenskij, S. Pulmannová, New Trends in Quantum Structures, Kluwer Academic Publ., Dordrecht, Ister Science, Bratislava, 2000, 541 + xvi pp.