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Slovak University of Technology {{attachment:bignew.png}}
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Faculty of Civil Engineering

Department of Mathematics and Descriptive Geometry

  * Slovak Republic
 * Bratislava
 * Slovak University of Technology
 * Faculty of Civil Engineering
 * Department of Mathematics and Descriptive Geometry
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[[attachment:jenca_ssaos_2021.pdf]]

[[attachment:1.pdf]]
[[attachment:2.pdf]]


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

!ResearchGate profile: [[https://www.researchgate.net/profile/Gejza_Jenca | here]]
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 * 1995 Comenius University in Bratislava, Slovakia -- master degree in computer science  * 1994 Comenius University in Bratislava, Slovakia -- master degree in computer science
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== Employment ==

 * programmer for !MicroStep HDO, meteorological software 1994--1998.
 * Slovak University of Technology, assistant (later associated) professor 1998--now.
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 Basic courses in math (algebra, discrete mathematics, caclulus), most of the time. Since 2008 operating systems, computer networks, internet applications.  * Basic courses in math (algebra, discrete mathematics, caclulus), most of the time.
 * Since 2008: Operating Systems, Computer Networks, Internet Applications.
 * Since 2018: Linear Algebra
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== Science == == Research ==
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 * finite posets  * finite posets.
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=== Preprints of submitted papers === I try to learn something about
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 1.

=== List of papers ===		  * algebraic topology,
 * algebraic combinatorics.
 * category theory
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=== Submitted manuscripts ===

 1. G. Jenča ''Orthogonality spaces associated with posets'' (submitted)
  
=== Accepted papers ===

 1. G. Jenča ''Derived voltage graphs come from an adjunction'', https://arxiv.org/abs/2008.12055 (to appear in Mathematica Slovaca)

=== Papers ===

 1. G. Jenča: ''Pseudo effect algebras are algebras over bounded posets'', Fuzzy Sets and Systems, '''397''' (2020) https://arxiv.org/abs/1903.05399
 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: ''Sharp and Meager Elements in Orthocomplete Homogeneous Effect Algebras'', Order, '''27''' (2010) 41-61
 1. G. Jenča: ''0-homogeneous effect algebras'', Soft Computing, '''14''' (2010) 1111-1116
 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: ''Finite homogeneous and lattice ordered effect algebras'', Discrete Mathematics, '''272''' (2003) 197-214
 1. G. Jenča, S. Pulmannová: ''Orthocomplete effect algebras'', Proceedings of the American Mathematical Society, '''131''' (2003) 2663-2671
 1. G. Jenča: ''A Cantor-Bernstein type theorem for effect algebras'', Algebra Universalis, '''48''' (2002) 399-411
 1. G. Jenča, S. Pulmannová: ''Quotients of partial abelian monoids and the Riesz decomposition property'', Algebra Universalis, '''47''' (2002) 443-477
 1. G. Jenča, I. Marinová, Z. Riečanová: ''Central elements, blocks and sharp elements of lattice effect algebras'', , '''''' (2002) 28-33
 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: ''Blocks of homogeneous effect algebras'', Bulletin of the Australian Mathematical Society, '''64''' (2001) 81-98 http://arxiv.org/abs/1504.00354
 1. G. Jenča, S. Pulmannová: ''Ideals and Quotients in Lattice Ordered Effect Algebras'', Soft Computing, '''5''' (2001) 376-380
 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: ''A note on ideals in generalized effect algebras'', Tatra Mountains Mathematical Publications, '''16''' (1999) 81-85
 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
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----  ----

Homepage of Gejza Jenča

bignew.png

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

Email: <gejza.jenca@stuba.sk>

jenca_ssaos_2021.pdf

1.pdf 2.pdf

Google scholar profile: here

ResearchGate 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.
  • 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

  1. G. Jenča Orthogonality spaces associated with posets (submitted)

Accepted papers

  1. G. Jenča Derived voltage graphs come from an adjunction, https://arxiv.org/abs/2008.12055 (to appear in Mathematica Slovaca)

Papers

  1. G. Jenča: Pseudo effect algebras are algebras over bounded posets, Fuzzy Sets and Systems, 397 (2020) https://arxiv.org/abs/1903.05399

  2. G. Jenča: Two monads on the category of graphs, Mathematica Slovaca, 69 (2019) 257-266 http://arxiv.org/abs/1706.00081

  3. G. Jenča: Effect Algebras as Presheaves on Finite Boolean Algebras, Order, 35 (2018) 525-540 http://arxiv.org/abs/1705.06498

  4. 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

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

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

  7. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  22. G. Jenča, I. Marinová, Z. Riečanová: Central elements, blocks and sharp elements of lattice effect algebras, , (2002) 28-33

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

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

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

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

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

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

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

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

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