Homepage of Gejza Jenča

• Slovak Republic
• Bratislava
• Slovak University of Technology
• Faculty of Civil Engineering
• Department of Mathematics and Descriptive Geometry

Email: <gejza.jenca@stuba.sk>

Google scholar profile: here

Education

• 1994 Comenius University in Bratislava, Slovakia -- master degree in computer science

• 2001 Slovak University of Technology in Bratislava, Slovakia -- PhD in applied mathematics. Thesis title: Quotients of partial abelian monoids

Employment

• programmer for MicroStep HDO, meteorological software 1994--1998.

• Slovak University of Technology, assistant (later associated) professor 1998--now.

Teaching

• Basic courses in math (algebra, discrete mathematics, caclulus), most of the time.
• Since 2008: Operating Systems, Computer Networks, Internet Applications.

Research

I work in

• quantum logics: effect algebras, orthomodular lattices,
• MV-algebras,
• finite posets.

I try to learn something about

• algebraic topology,
• algebraic combinatorics.
• category theory

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Submitted manuscripts

1. G.Jenča: Effect algebras as presheaves on finite Boolean algebras, https://arxiv.org/abs/1705.06498

Accepted papers

1. A. Jenčová, G. Jenča: On monoids in the category of sets and relations, International Journal of Theoretical Physics (to appear) https://arxiv.org/abs/1703.03728

Papers

• 

• G. Jenča: A note on unitizations of generalized effect algebras, Soft Computing, 20 (2016) 115-118

• G. Jenča: Effect Algebras are the Eilenberg-Moore Category for the Kalmbach Monad, Order, 32 (2015) 439-448 http://arxiv.org/abs/1404.6263

• G. Jenča, P. Sarkoci: Linear extensions and order-preserving poset partitions, Journal of Combinatorial Theory, Series A, 122 (2014) 28-38 http://arxiv.org/abs/1112.5782

• G. Jenča: Congruences generated by ideals of the compatibility center of lattice effect algebras, Soft Computing, 17 (2013) 45-47

• G. Jenča: Compatibility support mappings in effect algebras, Mathematica Slovaca, 62 (2012) 363-378 http://arxiv.org/abs/0910.2825

• G. Jenča: Extensions of Witness Mappings, Order, 29 (2012) 533-544

• G. Jenča: Coexistence in interval effect algebras, Proceedings of the American Mathematical Society, 139 (2011) 331-344 http://arxiv.org/abs/0910.2823

• G. Jenča: Sharp and Meager Elements in Orthocomplete Homogeneous Effect Algebras, Order, 27 (2010) 41-61

• G. Jenča: 0-homogeneous effect algebras, Soft Computing, 14 (2010) 1111-1116

• A. Di Nola, M. Holčapek, G. Jenča: The category of MV-pairs, Logic Journal of the IGPL, 17 (2009) 395-412

• G. Jenča: A representation theorem for MV-algebras, Soft Computing, 11 (2007) 557-564 http://arxiv.org/abs/math/0602169

• G. Jenča: The block structure of complete lattice ordered effect algebras, Journal of the Australian Mathematical Society, 83 (2007) 181-216

• G. Jenča: Boolean algebras R-generated by MV-effect algebras, Fuzzy Sets and Systems, 145 (2004) 279-285

• G. Jenča: Finite homogeneous and lattice ordered effect algebras, Discrete Mathematics, 272 (2003) 197-214

• G. Jenča, S. Pulmannová: Orthocomplete effect algebras, Proceedings of the American Mathematical Society, 131 (2003) 2663-2671

• G. Jenča: A Cantor-Bernstein type theorem for effect algebras, Algebra Universalis, 48 (2002) 399-411

• G. Jenča, S. Pulmannová: Quotients of partial abelian monoids and the Riesz decomposition property, Algebra Universalis, 47 (2002) 443-477

• G. Jenča, Z. Riečanová: A Survey on Sharp Elements in Unsharp Quantum Logics, Journal of Electrical Engineering, 52 (2001) 237-239

• G. Jenča: Blocks of homogeneous effect algebras, Bulletin of the Australian Mathematical Society, 64 (2001) 81-98 http://arxiv.org/abs/1504.00354

• G. Jenča, S. Pulmannová: Ideals and Quotients in Lattice Ordered Effect Algebras, Soft Computing, 5 (2001) 376-380

• G. Jenča: Subcentral ideals in generalized effect algebras, International Journal of Theoretical Physics, 39 (2000) 745-755

• G. Jenča: Notes on R1-ideals in partial abelian monoids, Algebra Universalis, 43 (2000) 307-319

• G. Jenča: A note on ideals in generalized effect algebras, Tatra Mountains Mathematical Publications, 16 (1999) 81-85

• G. Jenča, Z. Riečanová: On sharp elements in lattice ordered effect algebras, BUSEFAL, 80 (1999) 24-29

• G. Jenča: Sheaf representations of partial abelian monoids, Journal of Electrical Engineering, 50 (1999) 66-70

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