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, Porcupine-quotient graphs, the fourth primary color, and graded composition series of Leavitt path algebras, Publicacions Matematiques, in print.
• L. Vas, Graph characterization of the annihilator ideals of Leavitt path algebras, Bulletin of the Australian Mathematical Society, 110 (2024), 498 - 507.
• L. Vas, The functor K₀^gr is full and only weakly faithful, Algebras and Representation Theory, 26 (2023), 2877 - 2890.
• L. Vas, Annihilator ideals of graph algebras, Journal of Algebraic Combinatorics, 58 (2) (2023), 331 - 353.
• L. Vas, Graded irreducible representations of Leavitt path algebras: a new type and complete classification, Journal of Pure and Applied Algebra, 227 (3) (2023), 107213.
• L. Vas, Cancellation properties of nonunital rings. Graded clean and graded exchange Leavitt path algebras, Journal of Algebra and its Applications, 22 (2) (2023), 2350050.
• L. Vas, Simplicial and dimension groups with group action and their realization, Forum Mathematicum, 34 (3) (2022), 565 - 604.
• L. Vas, Every graded ideal of a Leavitt path algebra is graded isomorphic to a Leavitt path algebra, Bulletin of the Australian Mathematical Society, 105 (2) (2022), 248 - 256.
• R. Hazrat, L. Vas, Crossed product Leavitt path algebras, International Journal of Algebra and Computation, 31 (8) (2021), 1753 - 1773.
• L. Vas, Graded cancellation properties of graded rings and graded unit-regular Leavitt path algebras, Algebras and Representation Theory, 24 (3) (2021), 625 - 649.
• R. Hazrat, L. Vas, Comparability in the graph monoid, New York Journal of Mathematics, 26 (2020), 1375 - 1421.
• L. Vas, Realization of graded matrix algebras as Leavitt path algebras, Beitrage zur Algebra und Geometrie, 61 (4) (2020), 771 - 781.
• R. Hazrat, L. Vas, K-theory Classification of Graded Ultramatricial Algebras with Involution, Forum Mathematicum, 31 (2) (2019), 419 - 463.
• L. Vas, Graded chain conditions and Leavitt path algebras of no-exit graphs, Journal of the Australian Mathematical Society, 105 (2) (2018), 229 - 256.
• R. Hazrat, L. Vas, Baer and Baer *-ring characterizations of Leavitt path algebras, Journal of Pure and Applied Algebra, 222 (1) (2018), 39 - 60.
• 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 Sinica, 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 (alpha, beta)-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, Birkhauser 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), Univ. of Novi Sad, Serbia, 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., Univ. of Novi Sad, Serbia, (1996), 107 - 112.
• L. Vas, R. Madarasz, A note about multi-algebras, power algebras and identities, Proc. of the 9th Conf. on Applied Math., Univ. of Novi Sad, Serbia, (1995), 147 - 153.