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>

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.

Science

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

1. Gejza Jenča, Extensions of witness mappings, to appear in Order, http://arxiv.org/abs/1007.4081

2. Gejza Jenča, Compatibility support mappings in effect algebras, to appear in Mathematica Slovaca, http://arxiv.org/abs/0910.2825

Papers

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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