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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
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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: ''Extensions of Witness Mappings'', Order, '''29''' (2012) 533-544
 1. G. Jenča: ''Compatibility support mappings in effect algebras'', Mathematica Slovaca, '''62''' (2012) 363-378 http://arxiv.org/abs/0910.2825
 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, 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: ''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: ''Blocks of homogeneous effect algebras'', Bulletin of the Australian Mathematical Society, '''64''' (2001) 81-98
 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: ''Notes on R1-ideals in partial abelian monoids'', Algebra Universalis, '''43''' (2000) 307-319
 1. G. Jenča: ''Subcentral ideals in generalized effect algebras'', International Journal of Theoretical Physics, '''39''' (2000) 745-755
 1. G. Jenča: ''A note on ideals in generalized effect algebras'', Tatra Mountains Mathematical Publications, '''16''' (1999) 81-85
 1. G. Jenča: ''Sheaf representations of partial abelian monoids'', Journal of Electrical Engineering, '''50''' (1999) 66-70
 1. G. Jenča, Z. Riečanová: ''On sharp elements in lattice ordered effect algebras'', BUSEFAL, '''80''' (1999) 24-29

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>

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.

In addition, I try to learn something about

  • algebraic topology,
  • algebraic combinatorics.

Submitted manuscripts

  1. Gejza Jenča, Peter Sarkoci: Linear extensions and order-preserving poset partitions, http://arxiv.org/abs/1112.5782

Accepted papers

Papers

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

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

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

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

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

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

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

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

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

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

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

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

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

  14. G. Jenča: Blocks of homogeneous effect algebras, Bulletin of the Australian Mathematical Society, 64 (2001) 81-98

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

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

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

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

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

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

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

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