Homepage ofProf. RNDr. Anatolij Dvurečenskij, DrSc.
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E-mail: dvurecen@mat.savba.sk Telephone: ++4212/ 5249 7316, 57510 412 / lin. 412 |
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1972
Mathematics -- Faculty of Natural Sciences,
1972 – 1986
1977 CSc.
Candidat scientarium (CSc. =Phd)
1979-1986
Laboratory of Computing Techniques and Automatization, Joint Institute of
Nuclear Research,
1987--Mathematical
Institute, Slovak Academy of Sciences, Bratislava
1989
DrSc. Doctor Scientarium,
1991-92 Alexander von Humboldt Fellow,
1998 University professor,
2003 the
founding member of Learned Society of the Slovak Academy of Sciences
2004-2006
President of the International Quantum Structure Association,
2006 the
Scholar of the Year in the Slovak
republic
2006 the
Honorary Citizen for the city of
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.
[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,
[9]
A. Dvurečenskij,
[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,
[13]
S. Pulmannová, A. Dvurečenskij, Stochastic
processes on quantum logics, Rep. Math. Phys. 18 (1980), 303-315.
[14]
A. Dvurečenskij,
[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,
[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,
[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.
[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,
[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.
[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,
[104]
A. Dvurečenskij, Measures and ^-decomposable measures on effects of
a Hilbert space,
Atti Sem. Matem. Fis. Univ.
[105]
A. Dvurečenskij, H. Länger, Bell-type
inequalities in orthomodular lattices
[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.
[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,
[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.
[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.
[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,
[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
[142]
G. Chevalier, A. Dvurečenskij, K. Svozil, Piron's
and
[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,
[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
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