Items where authors include "Bavula, V.V."

Article

Bavula, V.V. (2024) Isomorphism problems and groups of automorphisms for ore extensions K[x][y; fd/dx] (prime characteristic). Algebras and Representation Theory, 27. pp. 2389-2422. ISSN 1386-923X

Bavula, V.V. orcid.org/0000-0003-2450-2075 (2024) Inner generalized Weyl algebras and their simplicity criteria. Journal of Algebra and Its Applications, 23 (13). 2450218. ISSN 0219-4988

Bavula, V.V. orcid.org/0000-0003-2450-2075 (2024) The question of Arnold on classification of co-artin subalgebras in singularity theory. Journal of Algebra and Its Applications, 23 (8). 2550035. ISSN 0219-4988

Bavula, V.V. orcid.org/0000-0003-2450-2075 (2024) Holonomic modules and 1-generation in the Jacobian Conjecture. Comptes Rendus Mathématique, 362 (G7). pp. 731-738. ISSN 1631-073X

Bavula, V.V. orcid.org/0000-0003-2450-2075 (2023) Description of bi-quadratic algebras on 3 generators with PBW basis. Journal of Algebra, 631. pp. 695-730. ISSN 0021-8693

Bavula, V.V. (2022) Simplicity criteria for rings of differential operators. Glasgow Mathematical Journal, 64 (2). pp. 347-351. ISSN 0017-0895

Bavula, V.V. (2022) Localizations of a ring at localizable sets, their groups of units and saturations. Mathematics in Computer Science, 16 (1). 10. ISSN 1661-8270

Bavula, V.V. (2021) Holonomic modules and 1-generation in the Jacobian Conjecture. arXiv. (Submitted)

Alsuraiheed, T. and Bavula, V.V. (2021) Criteria for a direct sum of modules to be a multiplication module over noncommutative rings. Journal of Algebra, 584. pp. 69-88. ISSN 0021-8693

Bavula, V.V. and Lu, T.A.O. (2020) The prime ideals and simple modules of the universal enveloping algebra U(\gb \ltimes {V_2}). Glasgow Mathematical Journal, 62 (S1). S77-S98. ISSN 0017-0895

Bavula, V.V. (2020) Generalized Weyl algebras and diskew polynomial rings. Journal of Algebra and Its Applications, 19 (10). 2050194. ISSN 0219-4988

Bavula, V.V. (2020) Classification of simple modules of the ore extension K[X][Y;fddX]. Mathematics in Computer Science, 14. pp. 317-325. ISSN 1661-8270

Bavula, V.V. (2020) Skew category algebras. Mathematics in Computer Science, 14. pp. 339-346. ISSN 1661-8270

Bavula, V.V. and Levandovskyy, V. (2020) A remark on the Dixmier Conjecture. Canadian Mathematical Bulletin, 63 (1). pp. 6-12. ISSN 0008-414X

Bavula, V.V. (2020) The global dimension of the algebras of polynomial integro-differential operators In and the Jacobian algebras An. Journal of Algebra and Its Applications, 19 (02). 2050030. ISSN 0219-4988

Bavula, V.V. (2020) The generalized Weyl Poisson algebras and their Poisson simplicity criterion. Letters in Mathematical Physics, 110. pp. 105-119. ISSN 0377-9017

Bavula, V.V., Bekkert, V. and Futorny, V. (2019) Explicit description of generalized weight modules of the algebra of polynomial integro-differential operators In. arXiv. (Submitted)

Alsuraiheed, T. and Bavula, V.V. (2019) Characterization of multiplication commutative rings with finitely many minimal prime ideals. Communications in Algebra, 47 (11). pp. 4533-4540. ISSN 0092-7872

Bavula, V.V. (2019) Left localizable rings and their characterizations. Journal of Pure and Applied Algebra, 223 (3). pp. 998-1013. ISSN 0022-4049

Bavula, V.V. and Lu, T. (2018) The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. Canadian Mathematical Bulletin, 61 (4). pp. 688-703. ISSN 0008-4395

Bavula, V.V. and Lu, T. (2018) The prime spectrum of the algebra Kq[X,Y]⋊Uq(sl2) and a classification of simple weight modules. Journal of Noncommutative Geometry, 12 (3). pp. 889-946. ISSN 1661-6952

Bavula, V.V. (2018) Criteria for a ring to have a left Noetherian left quotient ring. Journal of Pure and Applied Algebra, 222 (7). pp. 1548-1564. ISSN 0022-4049

Bavula, V.V. (2018) Criteria for a Ring to have aLeft Noetherian Largest Left Quotient Ring. Algebras and Representation Theory, 21 (2). pp. 359-373. ISSN 1386-923X

Bavula, V.V. and Akcin, H.M.T. (2018) On approximations of the de Rham complex and their cohomology. Communications in Algebra, 46 (4). pp. 1447-1463. ISSN 0092-7872

Bavula, V.V. and Lu, T. (2018) The universal enveloping algebra U(sl2 sdir V2), its prime spectrum and a classification of its simple weight modules. Journal of Lie Theory, 28 (2). pp. 525-560. ISSN 0949-5932

Bavula, V.V. (2017) Quiver Generalized Weyl Algebras, Skew Category Algebras and Diskew Polynomial Rings. Mathematics in Computer Science, 11 (3-4). pp. 253-268. ISSN 1661-8270

Bavula, V.V. (2017) The group of automorphisms of the Lie algebra of derivations of a polynomial algebra. Journal of Algebra and Its Applications, 16. 1750088. ISSN 0219-4988

Bavula, V.V. and Lu, T. (2017) The quantum euclidean algebra and its prime spectrum. Israel Journal of Mathematics, 219 (2). pp. 929-958. ISSN 0021-2172

Bavula, V.V. (2017) The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence. Communications in Algebra, 45 (3). pp. 1114-1133. ISSN 0092-7872

Bavula, V.V. and Lu, T. (2017) Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules. Journal of Mathematical Physics, 58 (1). 011701. ISSN 0022-2488

Bavula, V.V. and Lu, T. (2017) Torsion simple modules over the quantum spatial ageing algebra. Communications in Algebra, 45 (10). pp. 4166-4189. ISSN 0092-7872

Bavula, V.V. (2017) The groups K1(S-n , p) of the algebra of one-sided inverses of a polynomial algebra. Publicationes Mathematicae Debrecen, 90 (1-2). pp. 55-90. ISSN 0033-3883

Bavula, V.V. (2016) The groups of automorphisms of the Witt W (n) and Virasoro Lie algebras. Czechoslovak Mathematical Journal, 66 (4). pp. 1129-1141. ISSN 0011-4642

Bavula, V.V. (2016) Weakly left localizable rings. Communications in Algebra, 45 (9). pp. 3798-3815. ISSN 0092-7872

Bavula, V.V. (2016) Left localizations of left Artinian rings. Journal of Algebra and Its Applications, 15 (09). 1650165. ISSN 0219-4988

Bavula, V.V. (2016) The classical left regular left quotient ring of a ring and its semisimplicity criteria. Journal of Algebra and Its Applications, 16 (1750103). ISSN 0219-4988

Bavula, V.V. (2016) The Largest Left Quotient Ring of a Ring. Communications in Algebra, 44 (8). pp. 3219-3261. ISSN 0092-7872

Bavula, V.V. and Lu, T. (2015) The prime spectrum and simple modules over the quantum spatial ageing algebra. (Unpublished)

Bavula, V.V. (2015) New criteria for a ring to have a semisimple left quotient ring. Journal of Algebra and Its Applications, 14 (6). 1550090. ISSN 0219-4988

Bavula, V.V. (2014) The groups of automorphisms of the Lie algebras of triangular polynomial derivations. Journal of Pure and Applied Algebra, 218 (5). 829 - 851. ISSN 0022-4049

Bavula, V.V. (2014) The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence. Comptes Rendus Mathematique, 352 (2). pp. 85-88. ISSN 1631-073X

Bavula, V.V. (2013) The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra. Münster Journal of Mathematics, 6. pp. 1-51. ISSN 1867-5778

Bavula, V.V. (2012) The group of automorphisms of the Jacobian algebra An. Journal of Pure and Applied Algebra, 216 (3). pp. 535-564. ISSN 0022-4049

Bavula, V.V. (2011) On the eigenvector algebra of the product of elements with commutator one in the first Weyl algebra. Mathematical Proceedings of the Cambridge Philosophical Society, 151 (2). pp. 245-262. ISSN 0305-0041

Bavula, V.V. (2009) The group of automorphisms of the first weyl algebra in prime characteristic and the restriction map. Glasgow Mathematical Journal, 51 (2). pp. 263-274. ISSN 0017-0895

Bavula, V.V. (2005) Finite generation of division subalgebras and of the group of eigenvalues for commuting derivations or automorphisms of division algebras. arXiv. (Submitted)

Proceedings Paper

Bavula, V.V. (2020) The Jacobian Conjecture 2n implies the Dixmier Problem n. In: Silvestrov, S., Malyarenko, A. and Rančić, M., (eds.) SPAS 2017: Algebraic Structures and Applications. SPAS: International Conference on Stochastic Processes and Algebraic Structures, 04-06 Oct 2017, Västerås and Stockholm, Sweden. Springer Proceedings in Mathematics & Statistics (317). Springer, Cham , pp. 411-426. ISBN 9783030418496

Bavula, V.V. (2016) Orders in Artinian rings, Goldie's Theorem and the largest left quotient ring of a ring. In: Martsinkovsky, A., Todoro, G. and Igusa, K., (eds.) Contemporary Mathematics. Maurice Auslander Distinguished Lectures and International Conference, 01-06 May 2014, Woods Hole Oceanographic Institute, Woods Hole, MA. Contemporary Mathematics, 673 . American Mathematical Society , pp. 1-24. ISBN 978-1-4704-1955-4