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V. V. Bavula
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Generalized Weyl algebras and their representations
VV Bavula
Algebra i Analiz 4 (1), 75-97, 1992
3041992
Isomorphism problems and groups of automorphisms for generalized Weyl algebras
V Bavula, D Jordan
Transactions of the American Mathematical Society 353 (2), 769-794, 2001
982001
Finite dimensionality of Extn's and Torn's of simple modules over one class of algebras
VV Bavula
Functional Analysis and Its Applications 25, 229-230, 1991
951991
The simple modules of certain generalized crossed products
V Bavula, F Van Oystaeyen
Journal of Algebra 194 (2), 521-566, 1997
641997
The algebra of integro-differential operators on an affine line and its modules
VV Bavula
Journal of Pure and Applied Algebra 217 (3), 495-529, 2013
532013
Global dimension of generalized Weyl algebras
VV Bavula
Representation theory of algebras (Cocoyoc, 1994) 18, 81-107, 1996
531996
Indecomposable representations of generalized Weyl algebras
V Bavula, V Bekkert
Communications in Algebra 28 (11), 5067-5100, 2000
502000
Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules
VV Bavula
CMS Conf. Proc 14, 83-107, 1993
491993
Simple D [X, Y; σ, a]-modules
VV Bavula
Ukrainian Mathematical Journal 44 (12), 1500-1511, 1992
411992
The inversion formula for automorphisms of the Weyl algebras and polynomial algebras
VV Bavula
Journal of Pure and Applied Algebra 210 (1), 147-159, 2007
402007
The algebra of integro-differential operators on a polynomial algebra
VV Bavula
Journal of the London Mathematical Society 83 (2), 517-543, 2011
382011
Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras
VV Bavula
Bulletin des Sciences Mathématiques 120 (3), 293, 1996
381996
Filter dimension of algebras and modules, a simplicity criterion of generalized Weyl algebras
V Bavula
Communications in Algebra 24 (6), 1971-1992, 1996
331996
Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: commutative coefficients
V Bavula, F Van Oystaeyen
Journal of Algebra 208 (1), 1-34, 1998
311998
The Jacobian Conjecture Implies the Dixmier Problem
VV Bavula
International Conference on Stochastic Processes and Algebraic Structures …, 2017
292017
Simple holonomic modules over the second Weyl algebra A2
V Bavula, F Van Oystaeyen
Advances in Mathematics 150 (1), 80-116, 2000
292000
An analogue of the conjecture of Dixmier is true for the algebra of polynomial integro-differential operators
VV Bavula
Journal of Algebra 372, 237-250, 2012
282012
The simple modules of the Ore extensions with coefficients from a Dedekind ring
V Bavula
Communications in Algebra 27 (6), 2665-2699, 1999
271999
The Universal Enveloping Algebra U (sl 2 sdir V 2), its Prime Spectrum and a Classification of its Simple Weight Modules
VV Bavula, T Lu
Journal of Lie Theory 28 (2), 525-560, 2018
252018
The algebra of one-sided inverses of a polynomial algebra
VV Bavula
Journal of Pure and Applied Algebra 214 (10), 1874-1897, 2010
252010
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