# Research

I have been working in algebra and ring theory, in particular with rings of operators, involutive rings, graded rings, Leavitt path algebras, clean rings, rings of quotients, torsion theories, rings with derivations, Baer *-rings, and finite von Neumann algebras.## Publications

- L. Vas, Graded chain conditions and Leavitt path algebras of no-exit graphs, submitted for publication.
- R. Hazrat, L. Vas, Baer and Baer *-ring characterizations of Leavitt path algebras, Journal of Pure and Applied Algebra, in print.
- R. Hazrat, L. Vas, K-theory Classification of Graded Ultramatricial Algebras with Involution, submitted for publication.
- Z. Mesyan, L. Vas, Traces on Semigroup Rings and Leavitt Path Algebras, Glasgow Mathematical Journal, 58 (2016) 97 – 118.
- L. Vas, Canonical Traces and Directly Finite Leavitt Path Algebras, Algebras and Representation Theory, 18 (3) (2015) 711 – 738.
- G. Aranda Pino, L. Vas, Noetherian Leavitt path algebras and their regular algebras, Mediterranean Journal of Mathematics, 10 (4) (2013) 1633 – 1656.
- E. Akalan, L. Vas, Classes of almost clean rings, Algebras and Representation Theory, 16 (3) (2013), 843 – 857.
- L. Vas, Strongly semihereditary rings and rings with dimension, Algebras and Representation Theory, 15 (6) (2012), 1049 – 1079.
- G. Aranda Pino, K. M. Rangaswamy, L. Vas, *-regular Leavitt path algebras of arbitrary graphs, Acta Mathematica Scientia, Series B, English Edition, 28 (5) (2012), 957 – 968.
- L. Vas, *-Clean Rings; Cleanness of Some Baer *-rings and von Neumann Algebras, Journal of Algebra, 324 (12) (2010), 3388 – 3400.
- L. Vas, T. P. Enright, Generalization of Cross Product to Higher Dimensions Using Geometric Approach, For the Learning of Mathematics, 30 (2) (2010), 24 – 25.
- L. Vas, C. Papachristou, A note on (α, β)-higher derivations and their extensions to modules of quotients, Proceedings of the International Conference on Ring and Module Theory, Ankara, Turkey, August 2008; Ring and Module theory, Trends in Mathematics, Birkhäuser Verlag Basel, Switzerland, (2010), 165 – 174.
- L. Vas, Perfect Symmetric Rings of Quotients, Journal of Algebra and its Applications, 8 (5) (2009), 689 – 711.
- L. Vas, Extending ring derivations to right and symmetric rings and modules of quotients, Communications in Algebra, 37 (3) (2009), 794 – 810.
- L. Vas, Extending higher derivations to rings and modules of quotients, International Journal of Algebra, 2 (15) (2008), 711 – 731.
- L. Vas, Torsion Theories for Algebras of Affiliated Operators of Finite von Neumann Algebras, Rocky Mountain Journal of Mathematics, 37 (6) (2007), 2053 – 2075.
- L. Vas, Semisimplicity and Global Dimension of a Finite von Neumann Algebra, Mathematica Bohemica 132 (1) (2007), 13 – 26.
- L. Vas, Differentiability of Torsion Theories, Journal of Pure and Applied Algebra 210 (3) (2007), 847 – 853.
- J. Ding, D. Mundici, D. S. Passman, J. B. Srivastava, L. Vas, Open Problems, Proceedings of The Conference on Algebra and its Applications, Contemporary Mathematics 419 (2006), 307 – 319.
- L. Vas, A Simplification of Morita's Construction of Total Right Rings of Quotients for a Class of Rings, Journal of Algebra 304 (2) (2006), 989 – 1003.
- L. Vas, Class of Baer*-rings Defined by a Relaxed Set of Axioms, Journal of Algebra 297 (2) (2006), 470 – 473.
- L. Vas, Dimension and Torsion Theories for a Class of Baer *-Rings, Journal of Algebra 289 (2) (2005), 614 – 639.
- L. Vas, Torsion Theories for Finite von Neumann Algebras, Communications in Algebra 33 (3) (2005), 663 – 688.
- L. Vas, Torsion Theories for Group von Neumann Algebras, Dissertation, University of Maryland , College Park (2002).
- Kovacevic, N. Ralevic, L. Vas, Uvod u Matematicku Analizu (Introduction to Mathematical Analysis), textbook, Univ. of Novi Sad , Yugoslavia, 1998.
- D. Masulovic, L. Vas , A software support to exploration of multialgebras and algebras of complexes with small cardinalities, Proc. of the 10th Conf. on Applied Math., Novi Sad, Yugoslavia, 1996.
- L. Vas, R. Madarasz, A note about multi-algebras, power algebras and identities, Proc. of the 9th Conf. on Applied Math., Novi Sad, Yugoslavia, 1995.