Dr. Karin Cvetko-Vah                  

Assistant professor

 

Department of mathematics
Faculty of mathematics and physics

University of Ljubljana

Jadranska 21
SI-1000 Ljubljana, Slovenia

Office: Jadranska 21, Room 5.14
Telephone: +386 (0)1 4766 551
Fax: +386 (0)1 25 17 281

E-mail address:  karin.cvetko@fmf.uni-lj.si

Research areas:

  • Semigroup theory: bands of matrices, skew lattices in rings.
  • Skew lattices.
  • Ring theory: idempotents in rings, ring decompositions.

 

List of publications:

1.    Pure skew lattices in rings, Semigroup Forum 68 (2004), 268—279.

2.    Skew lattices of matrices in rings, Alg. Universalis 53 (2005), 471—479. 

3.    Pure $\nabla$-bands, Semigroup Forum 71 (2005), 93—101.

4.    Internal decompositions of skew lattices, Communications in algebra, 35 (2007), 243—247.

5.    A new proof of Spinks’ theorem, Semigroup Forum, 73 (2006), 267—272. 

6.    On the structure of semigroups of idempotent matrices, Linear Algebra Appl., 426 (2007), 204—213.

7.    Associativity of the $\nabla$-operation on bands in  rings, with J. Leech, Semigroup forum, 76 (2008), 32--50.

8.    Indecomposability graphs of rings, with D. Dolžan, Bull. Aust. Math. Soc., 77 (2008), 151--159.

9.    Semitransitive and transitive subsemigroups of the  inverse symmetric semigroups, with Damjana Kokol Bukovšek, Tomaž Košir, Ganna Kudryavtseva, Yaroslav Lavrenyuk and Andriy Oliynyk, Semigroup Forum, 78 (2009), 138--147.

Manuscripts submitted for publication:

 

1.    Rings whose idempotents form a multiplicative set, with J. Leech.

2.    Semitransitive subsemigroups of the singular part of the finite symetrric inverse semigroup, with Damjana Kokol Bukovšek, Tomaž Košir and Ganna Kudryavtseva.

3.    Cancellation in skew lattices, with M. Kinyon, J. Leech and M. Spinks.

4.    The Dedekind-Birkhoff Theorem for strongly symmetric skew lattices.

5.    A census of edge-transitive planar tilings, with T. Pisanski.

 

Talks:

·       On the Structure of Semigroups of Idempotent Matrices, Kiev, May 2007.

·       On the Dedekind – Birkhoff Theorem for skew lattices, 78. Arbeitstagung Allgemeine Algebra, Bern, June 11-14, 2009.

·       Rings whose idempotents form a band, International Conference on Semigroups and related topics, Porto, July 6-11, 2009.