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= Homepage of Gejza Jenča =

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

Email: <<MailTo(gejza.jenca@stuba.sk)>>

Google scholar profile: [[http://scholar.google.com/citations?user=m5LzOyYAAAAJ | here]]

!ResearchGate profile: [[https://www.researchgate.net/profile/Gejza_Jenca | 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.
 * Since 2018: Linear Algebra

== 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


=== Submitted manuscripts ===

 
=== Accepted papers ===

 1. G. Jenča, B. Lindenhovius: ''Quantum Suplatticces'', to appear in Electronic Proceedings in Theoretical Computer Science, [[attachment:JencaLindenhovius_QuantumSuplattices.pdf]]

=== Papers ===
 1. G. Jenča: ''Voltage lifts of graphs from a category theory viewpoint'', Mathematica Slovaca, '''73''' (2023) 275-288
 1. G. Jenča: ''Orthomodular posets are algebras over bounded posets with involution'', Soft Computing, '''26''' (2022) 491-498
 1. G. Jenča: ''Pseudo effect algebras are algebras over bounded posets'', Fuzzy Sets and Systems, '''397''' (2020) 179-185
 1. G. Jenča: ''Two monads on the category of graphs'', Mathematica Slovaca, '''69''' (2019) 257-266 http://arxiv.org/abs/1706.00081
 1. G. Jenča: ''Effect Algebras as Presheaves on Finite Boolean Algebras'', Order, '''35''' (2018) 525-540 http://arxiv.org/abs/1705.06498
 1. A. Jenčová, G. Jenča: ''On Monoids in the Category of Sets and Relations'', International Journal of Theoretical Physics, '''56''' (2017) 3757-3769 http://arxiv.org/abs/1703.03728
 1. G. Jenča: ''A note on unitizations of generalized effect algebras'', Soft Computing, '''20''' (2016) 115-118
 1. G. Jenča: ''Effect Algebras are the Eilenberg-Moore Category for the Kalmbach Monad'', Order, '''32''' (2015) 439-448 http://arxiv.org/abs/1404.6263
 1. 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
 1. G. Jenča: ''Congruences generated by ideals of the compatibility center of lattice effect algebras'', Soft Computing, '''17''' (2013) 45-47
 1. G. Jenča: ''Compatibility support mappings in effect algebras'', Mathematica Slovaca, '''62''' (2012) 363-378 http://arxiv.org/abs/0910.2825
 1. G. Jenča: ''Extensions of Witness Mappings'', Order, '''29''' (2012) 533-544
 1. G. Jenča: ''Coexistence in interval effect algebras'', Proceedings of the American Mathematical Society, '''139''' (2011) 331-344 http://arxiv.org/abs/0910.2823
 1. G. Jenča: ''0-homogeneous effect algebras'', Soft Computing, '''14''' (2010) 1111-1116
 1. G. Jenča: ''Sharp and Meager Elements in Orthocomplete Homogeneous Effect Algebras'', Order, '''27''' (2010) 41-61
 1. A. Di Nola, M. Holčapek, G. Jenča: ''The category of MV-pairs'', Logic Journal of the IGPL, '''17''' (2009) 395-412
 1. G. Jenča: ''A representation theorem for MV-algebras'', Soft Computing, '''11''' (2007) 557-564 http://arxiv.org/abs/math/0602169
 1. G. Jenča: ''The block structure of complete lattice ordered effect algebras'', Journal of the Australian Mathematical Society, '''83''' (2007) 181-216
 1. G. Jenča: ''Boolean algebras R-generated by MV-effect algebras'', Fuzzy Sets and Systems, '''145''' (2004) 279-285
 1. G. Jenča, S. Pulmannová: ''Orthocomplete effect algebras'', Proceedings of the American Mathematical Society, '''131''' (2003) 2663-2671
 1. G. Jenča: ''Finite homogeneous and lattice ordered effect algebras'', Discrete Mathematics, '''272''' (2003) 197-214
 1. G. Jenča, I. Marinová, Z. Riečanová: ''Central elements, blocks and sharp elements of lattice effect algebras'', , '''''' (2002) 28-33
 1. G. Jenča, S. Pulmannová: ''Quotients of partial abelian monoids and the Riesz decomposition property'', Algebra Universalis, '''47''' (2002) 443-477
 1. G. Jenča: ''A Cantor-Bernstein type theorem for effect algebras'', Algebra Universalis, '''48''' (2002) 399-411
 1. G. Jenča, Z. Riečanová: ''A Survey on Sharp Elements in Unsharp Quantum Logics'', Journal of Electrical Engineering, '''52''' (2001) 237-239
 1. G. Jenča, S. Pulmannová: ''Ideals and Quotients in Lattice Ordered Effect Algebras'', Soft Computing, '''5''' (2001) 376-380
 1. G. Jenča: ''Blocks of homogeneous effect algebras'', Bulletin of the Australian Mathematical Society, '''64''' (2001) 81-98 http://arxiv.org/abs/1504.00354
 1. G. Jenča: ''Subcentral ideals in generalized effect algebras'', International Journal of Theoretical Physics, '''39''' (2000) 745-755
 1. G. Jenča: ''Notes on R1-ideals in partial abelian monoids'', Algebra Universalis, '''43''' (2000) 307-319
 1. G. Jenča, Z. Riečanová: ''On sharp elements in lattice ordered effect algebras'', BUSEFAL, '''80''' (1999) 24-29
 1. G. Jenča: ''Sheaf representations of partial abelian monoids'', Journal of Electrical Engineering, '''50''' (1999) 66-70
 1. G. Jenča: ''A note on ideals in generalized effect algebras'', Tatra Mountains Mathematical Publications, '''16''' (1999) 81-85


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