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[[attachment:jenca_ssaos2022.pdf]]
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!ResearchGate profile: [[https://www.researchgate.net/profile/Gejza_Jenca | here]]
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 * Since 2008: Operating Systems, Computer Networks, Internet Applications.  * Since 2008: Operating Systems, Computer Networks, Internet Applications.
 * Since 2018: Linear Algebra
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== Research == Research ==
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In addition, I try to learn something about I try to learn something about
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 * category theory
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 1. Gejza Jenča, Peter Sarkoci: ''Linear extensions and order-preserving poset partitions'', http://arxiv.org/abs/1112.5782
  1. G. Jenča ''Orthogonality spaces associated with posets'' (submitted) https://arxiv.org/abs/2206.08113
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 1. Gejza Jenča, ''Extensions of witness mappings'', to appear in Order, http://arxiv.org/abs/1007.4081
 1. Gejza Jenča, ''Congruences generated by ideals of the compatibility center of lattice effect algebras'', to appear in Soft Computing
 		  1. G. Jenča ''Derived voltage graphs come from an adjunction'', https://arxiv.org/abs/2008.12055 (to appear in Mathematica Slovaca)
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 1. Jenča, G.: ''Compatibility support mappings in effect algebras'', Mathematica Slovaca, '''62''' (2012) 363-378 http://arxiv.org/abs/0910.2825
 1. Jenča, G.: ''Coexistence in interval effect algebras'', Proceedings of the American Mathematical Society, '''139''' (2011) 331-344 http://arxiv.org/abs/0910.2823
 1. Jenča, G.: ''0-homogeneous effect algebras'', Soft Computing, '''14''' (2010) 1111-1116
 1. Jenča, G.: ''Sharp and Meager Elements in Orthocomplete Homogeneous Effect Algebras'', Order, '''27''' (2010) 41-61
 1. Di Nola, A.,Holčapek, M.,Jenča, G.: ''The category of MV-pairs'', Logic Journal of the IGPL, '''17''' (2009) 395-412
 1. Jenča, G.: ''The block structure of complete lattice ordered effect algebras'', Journal of the Australian Mathematical Society, '''83''' (2007) 181-216
 1. Jenča, G.: ''A representation theorem for MV-algebras'', Soft Computing, '''11''' (2007) 557-564 http://arxiv.org/abs/math/0602169
 1. Jenča, G.: ''Boolean algebras R-generated by MV-effect algebras'', Fuzzy Sets and Systems, '''145''' (2004) 279-285
 1. Jenča, G.: ''Finite homogeneous and lattice ordered effect algebras'', Discrete Mathematics, '''272''' (2003) 197-214
 1. Jenča, G.,Pulmannová, S.: ''Orthocomplete effect algebras'', Proceedings of the American Mathematical Society, '''131''' (2003) 2663-2671
 1. Jenča, G.,Pulmannová, S.: ''Quotients of partial abelian monoids and the Riesz decomposition property'', Algebra Universalis, '''47''' (2002) 443-477
 1. Jenča, G.: ''A Cantor-Bernstein type theorem for effect algebras'', Algebra Universalis, '''48''' (2002) 399-411
 1. Jenča, G.: ''Blocks of homogeneous effect algebras'', Bulletin of the Australian Mathematical Society, '''64''' (2001) 81-98
 1. Jenča, G.,Pulmannová, S.: ''Ideals and Quotients in Lattice Ordered Effect Algebras'', Soft Computing, '''5''' (2001) 376-380
 1. Jenča, G.,Riečanová, Z.: ''A Survey on Sharp Elements in Unsharp Quantum Logics'', Journal of Electrical Engineering, '''52''' (2001) 237-239
 1. Jenča, G.: ''Notes on R1-ideals in partial abelian monoids'', Algebra Universalis, '''43''' (2000) 307-319
 1. Jenča, G.: ''Subcentral ideals in generalized effect algebras'', International Journal of Theoretical Physics, '''39''' (2000) 745-755
 1. Jenča, G.: ''Sheaf representations of partial abelian monoids'', Journal of Electrical Engineering, '''50''' (1999) 66-70
 1. Jenča, G.,Riečanová, Z.: ''On sharp elements in lattice ordered effect algebras'', BUSEFAL, '''80''' (1999) 24-29
 1. Jenča, G.: ''A note on ideals in generalized effect algebras'', Tatra Mountains Mathematical Publications, '''16''' (1999) 81-85 		 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_ssaos2022.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) https://arxiv.org/abs/2206.08113

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

CategoryHomepage

KMaDGWiki: jenca (last edited 2023-08-18 11:18:18 by jenca)