Mgr. Marek Hyčko, PhD.

• About me
• OML computation
• Wprepea
• HyperEA
• Practicals Math WT02/03
• Practicals Math ST02/03
• Practicals AZA

Current affiliation:

researcher at Mathematical Institute of SAS, since September 2005

Research interests:

algebra, quantum structures, multiple-valued logics, ordered structures, partial algebras

PhD. study September 2002 - August 2005

at Mathematical institute, Slovak Academy of Sciences
Supervisor: Prof. RNDr. Anatolij Dvurečenskij, DrSc.
Specialization: 11-06-9: Probability and mathematical statistics
Thesis: Algebraic reasoning in the theory of quantum structures
Defence date: 11.10. 2005
Topics of study:

Theory of quantum and ordered structures

Orthomodular lattices

MV-algebras, pseudo MV-algebras

Effect algebras, pseudo-effect algebras

Entropy theory on

MV-algebras, effect-algebras

Free MV-algebras on 1 generator

Other structures

BL-algebras, pseudo-BL algebras

bounded Rl - monoids

Graduate study September 1997 - July 2002

Faculty of Mathematics and Physics and Informatics, Comenius University
Specialization: Algebra, Computer science
Supervisor: Prof. RNDr. Tibor Katriňák, DrSc.
Diploma thesis: Free products of semigroups (in Slovak)

Hobbies

reading books,

computers (programming, linux),

solving puzzles,

sport activities - cycling, hiking.

List of publications:

1. Anatolij Dvurečenskij, Marek Hyčko, Hyper effect algebras, Fuzzy Sets and Systems 326 (2017), 34–51. doi: 10.1016/j.fss.2016.12.012. (link)
2. Andrea Mesiarová–Zemánková, Marek Hyčko, Multi- and multi-polar capacities, Fuzzy Sets and Systems 291 (2016), 18–32. doi: 10.1016/j.fss.2014.12.005.
3. Andrea Mesiarová–Zemánková, Marek Hyčko, Aggregation on Boolean multi-polar space: Knowledge-based vs. category-based ordering, Information Sciences 309 (2015), 163–179. doi: 10.1016/j.ins.2015.03.008.
4. Lavinia Corina Ciungu, Anatolij Dvurečenskij, Marek Hyčko, State BL-algebras, Soft Comput. 15, no. 4, (2010), 619–1634. doi: 10.1007/s00500-010-0571-5.
5. Anatolij Dvurečenskij, Marek Hyčko, Bounded Boolean powers and free product of GMV-algebras, Int. J. Theor. Phys. 49, no. 7, (2010), 1595–1611. doi: 10.1007/s10773-010-0342-1.
6. Anatolij Dvurečenskij, Marek Hyčko, Algebras on subintervals of BL-algebras, pseudo BL-algebras and bounded residuated $\ell$-monoids, Math. Slovaca 56 (2006), 125–144.
7. Anatolij Dvurečenskij, Marek Hyčko, On the existence of states for linear pseudo BL-algebras, Atti. Sem. Mat. Fis. Univ. Modena e Reggio Emilia 53 (2005), 93–110.
8. Mirko Navara, Marek Hyčko,  Decidability in orthomodular lattices, Inter. J. Theor. Physic. 44 (2005), 2201–2210.
9. Antonio Di Nola, Anatolij Dvurečenskij, Marek Hyčko, Corrado Manara, Entropy of effect algebras with the Riesz decomposition property II: MV-algebras, Kybernetika 41 (2005), 161–176.
10. Antonio Di Nola, Anatolij Dvurečenskij, Marek Hyčko, Corrado Manara, Entropy of effect algebras with the Riesz decomposition property I: Basic proberties, Kybernetika 41 (2005), 143–160.
11. Marek Hyčko, Implications and equivalences in orthomodular lattices, Demonstratio Mathematica 38 (2005), 777–792.
12. Marek Hyčko, On three definitions of the free product of universal algebras, J. Electric. Engineering 54 (2003), 29–32.

Unpublished papers and miscellaneous texts and works:

• Atomic lattice effect algebras computation (Greechie diagrams): https://github.com/mhcheops8b/lea
• Hyper Pseudo Effect Algebras (finite models)
• Rubik's cube C++ implementation - https://github.com/mhcheops8b/rubik_cube
• Marek Hyčko, Notes on elliptic curves and Weierstrass form transformations, June 9, 2017, [PDF].
• Hyper Effect Algebras (finite models)
• Marek Hyčko, Weak pre pseudo effect algebras and generalized weak pre pseudo effect algebras, arXiv:1509.09105, [math.RA], 2015.
• Weak pre pseudo effect algebras (finite models)

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Last update: 1. 3. 2019

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(c) Marek Hyčko