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Bavula, Vladimir V.

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Author ID: bavula.vladimir-v Recent zbMATH articles by "Bavula, Vladimir V."
Published as: Bavula, V. V.; Bavula, V.; Bavula, Vladimir; Bavula, Vladimir V.; Bavula, Volodymyr V.; Bavula, Volodymyr
External Links: MGP
Documents Indexed: 122 Publications since 1990
all top 5

Serials

14 Communications in Algebra
14 Journal of Algebra
12 Journal of Pure and Applied Algebra
9 Journal of Algebra and its Applications
6 Algebras and Representation Theory
5 Ukrainian Mathematical Journal
4 Glasgow Mathematical Journal
4 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
3 Ukraïns’kyĭ Matematychnyĭ Zhurnal
3 Canadian Mathematical Bulletin
3 Mathematics in Computer Science
2 Functional Analysis and its Applications
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Izvestiya: Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Advances in Mathematics
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Czechoslovak Mathematical Journal
1 Journal für die Reine und Angewandte Mathematik
1 Publicationes Mathematicae
1 Russian Academy of Sciences. Izvestiya. Mathematics
1 St. Petersburg Mathematical Journal
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică
1 Representation Theory
1 Annals of Mathematics. Second Series
1 Journal of Noncommutative Geometry
1 Münster Journal of Mathematics
1 Journal of \(K\)-Theory

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 711 times in 283 Documents Cited by Year
Generalized Weyl algebras and their representations. Zbl 0807.16027
Bavula, V. V.
97
1992
Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Zbl 0961.16016
Bavula, V. V.; Jordan, D. A.
49
2001
Finite dimensionality of \(\text{Ext}^ n\)’s and \(\text{Tor}_ n\)’s of simple modules over one class of algebras. Zbl 0755.17018
Bavula, V. V.
31
1991
The simple modules of certain generalized crossed products. Zbl 0927.16002
Bavula, V.; Van Oystaeyen, F.
26
1997
Global dimension of generalized Weyl algebras. Zbl 0857.16025
Bavula, Vladimir
23
1996
Indecomposable representations of generalized Weyl algebras. Zbl 0963.17004
Bavula, Vladimir; Bekkert, Viktor
22
2000
The algebra of integro-differential operators on an affine line and its modules. Zbl 1272.16027
Bavula, V. V.
22
2013
Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras. Zbl 0855.16010
Bavula, Vladimir
21
1996
Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0806.17023
Bavula, Vladimir
20
1993
The inversion formula for automorphisms of the Weyl algebras and polynomial algebras. Zbl 1128.13017
Bavula, V. V.
19
2007
Filter dimension of algebras and modules, a simplicity criterion of generalized Weyl algebras. Zbl 0855.16005
Bavula, Vladimir
18
1996
Simple \(D[X,Y;\sigma,a]\)-modules. Zbl 0810.16003
Bavula, V. V.
16
1992
Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients. Zbl 0923.16022
Bavula, V.; Van Oystaeyen, F.
14
1998
The algebra of integro-differential operators on a polynomial algebra. Zbl 1225.16010
Bavula, V. V.
13
2011
Description of two-sided ideals in a class of noncommutative rings. II. Zbl 0809.16002
Bavula, V. V.
13
1993
Description of two-sided ideals in a class of noncommutative rings. I. Zbl 0809.16001
Bavula, V. V.
12
1993
The simple modules of the Ore extensions with coefficients from a Dedekind ring. Zbl 0944.16001
Bavula, V.
11
1999
Simple modules of the Witten-Woronowicz algebra. Zbl 1047.16001
Bavula, V.; Van Oystaeyen, F.
11
2004
The algebra of one-sided inverses of a polynomial algebra. Zbl 1226.16018
Bavula, V. V.
10
2010
Simple holonomic modules over the second Weyl algebra \(A_2\). Zbl 0947.16008
Bavula, V.; Van Oystaeyen, F.
9
2000
Generalized Weyl algebras are tensor Krull minimal. Zbl 1013.16014
Bavula, V. V.; Lenagan, T. H.
9
2001
The largest left quotient ring of a ring. Zbl 1353.16037
Bavula, V. V.
9
2016
The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic. Zbl 1149.13013
Bavula, V. V.
8
2008
The simple modules of the Lie superalgebra \(osp (1,2)\). Zbl 1006.17009
Bavula, V.; van Oystaeyen, F.
8
2000
A question of Rentschler and the Dixmier problem. Zbl 0995.16019
Bavula, V. V.
8
2001
An analogue of the conjecture of Dixmier is true for the algebra of polynomial integro-differential operators. Zbl 1278.16024
Bavula, V. V.
8
2012
New criteria for a ring to have a semisimple left quotient ring. Zbl 1332.16023
Bavula, V. V.
8
2015
Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules. Zbl 0717.17008
Bavula, V. V.
8
1990
The Jacobian algebras. Zbl 1162.16015
Bavula, V. V.
7
2009
Dixmier’s problem 5 for the Weyl algebra. Zbl 1069.16031
Bavula, V. V.
7
2005
The prime spectrum and simple modules over the quantum spatial ageing algebra. Zbl 1410.17013
Bavula, V. V.; Lu, Tao
7
2016
Left localizations of left Artinian rings. Zbl 1375.16018
Bavula, V. V.
7
2016
The universal enveloping algebra \(U(\mathfrak{sl}_2\ltimes V_2)\), its prime spectrum and a classification of its simple weight modules. Zbl 1396.17011
Bavula, Vladimir V.; Lu, Tao
7
2018
Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic. Zbl 1234.13025
Bavula, V. V.
6
2009
Krull dimension of generalized Weyl algebras with noncommutative coefficients. Zbl 0998.16014
Bavula, V. V.; Lenagan, T. H.
6
2001
The group of automorphisms of the first Weyl algebra in prime characteristic and the restriction map. Zbl 1184.16041
Bavula, V. V.
6
2009
Characterizations of left orders in left Artinian rings. Zbl 1302.16011
Bavula, V. V.
6
2014
Quiver generalized Weyl algebras, skew category algebras and diskew polynomial rings. Zbl 1381.16014
Bavula, V. V.
6
2017
Krull, Gelfand-Kirillov, and filter dimensions of simple affine algebras. Zbl 0908.16022
Bavula, Vladimir
5
1998
Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0802.17006
Bavula, Vladimir
5
1992
The largest strong left quotient ring of a ring. Zbl 1334.16033
Bavula, V. V.
5
2015
The group of automorphisms of the algebra of polynomial integro-differential operators. Zbl 1258.16039
Bavula, V. V.
5
2011
Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras. Zbl 1286.17022
Bavula, V. V.
5
2013
Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety. Zbl 1184.13075
Bavula, V. V.
4
2010
Classification of the simple modules of the quantum Weyl algebra and the quantum plane. Zbl 0890.17012
Bavula, Vladimir
4
1997
The group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra in prime characteristic. Zbl 1170.16024
Bavula, V. V.
4
2009
The algebra of polynomial integro-differential operators is a holonomic bimodule over the subalgebra of polynomial differential operators. Zbl 1305.16019
Bavula, V. V.
4
2014
The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). Zbl 1250.16028
Bavula, V. V.
4
2012
The groups of automorphisms of the Lie algebras of triangular polynomial derivations. Zbl 1281.17019
Bavula, V. V.
4
2014
Identification of the Hilbert function and Poincaré series, and the dimension of modules over filtered rings. Zbl 0845.16018
Bavula, V. V.
3
1994
The extension group of the simple modules over the first Weyl algebra. Zbl 1021.16002
Bavula, V. V.
3
2000
Each Schurian algebra is tensor-simple. Zbl 0832.16001
Bavula, Vladimir
3
1995
Dixmier’s problem 6 for somewhat commutative algebras and Dixmier’s problem 3 for the ring of differential operators on a smooth irreducible affine curve. Zbl 1095.16012
Bavula, V. V.
3
2005
Dixmier’s problem 6 for the Weyl algebra (the generic type problem). Zbl 1094.16016
Bavula, V. V.
3
2006
The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra. II. Zbl 1331.16031
Bavula, V. V.
3
2015
The group of automorphisms of the Lie algebra of derivations of a polynomial algebra. Zbl 1407.17020
Bavula, V. V.
3
2017
The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020
Bavula, V. V.; Lu, T.
3
2017
Some generalizations of the Eisenstein criterion. Zbl 0716.16014
Bavula, V. V.
3
1990
Every monomorphism of the Lie algebra of triangular polynomial derivations is an automorphism. Zbl 1264.17014
Bavula, Vladimir V.
3
2012
Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005
Bavula, V. V.; Lu, Tao
2
2018
Filter dimension. Zbl 1211.16017
Bavula, V.
2
2006
Simple derivations of differentiably simple Noetherian commutative rings in prime characteristic. Zbl 1153.13022
Bavula, V. V.
2
2008
Krull, Gelfand-Kirillov, filter, faithful and Schur dimensions. Zbl 0988.16014
Bavula, Vladimir
2
2000
Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2. Zbl 1017.16016
Bavula, V.; Van Oystaeyen, F.
2
2001
Classification of modules of Gel’fand-Kirillov dimension \(n\) and multiplicity \(1\) over the Weyl algebra \(A_n\). Zbl 0906.16010
Bavula, V. V.
2
1996
Extreme modules over the Weyl algebra \(A_ n\). Zbl 0829.16005
Bavula, V. V.
2
1993
Generators and defining relations for ring of invariants of commuting locally nilpotent derivations or automorphisms. Zbl 1129.16019
Bavula, V. V.
2
2007
Gelfand-Kirillov dimension of commutative subalgebras of simple infinite dimensional algebras and their quotient division algebras. Zbl 1083.16015
Bavula, V.
2
2005
Lüroth field extensions. Zbl 1100.13009
Bavula, V.
2
2005
Left localizable rings and their characterizations. Zbl 1401.16033
Bavula, V. V.
2
2019
Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules. Zbl 1393.17023
Bavula, V. V.; Lu, T.
2
2017
Criteria for a ring to have a left Noetherian largest left quotient ring. Zbl 1391.16023
Bavula, V. V.
2
2018
Characterization of multiplication commutative rings with finitely many minimal prime ideals. Zbl 1422.13010
Alsuraiheed, T.; Bavula, V. V.
2
2019
Structure of maximal commutative subalgebras of the first Weyl algebra. Zbl 1120.16022
Bavula, V. V.
1
2005
Finite generation of the group of eigenvalues for sets of derivations or automorphisms of division algebras. Zbl 1168.16008
Bavula, V. V.
1
2008
On the eigenvector algebra of the product of elements with commutator one in the first Weyl algebra. Zbl 1230.16021
Bavula, V. V.
1
2011
The prime spectrum of the algebra \(\mathbb{K}_q[X,Y] \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules. Zbl 1408.17003
Bavula, Vladimir V.; Lu, Tao
1
2018
Extensions of the Frobenius to the ring of differential operators on a polynomial algebra in prime characteristic. Zbl 1213.13013
Bavula, V. V.
1
2011
A Bernstein-Gabber-Joseph theorem for affine algebras. Zbl 0938.16013
Bavula, V. V.; Lenagan, T. H.
1
1999
Module structure of the tensor product of simple algebras of Krull dimension \(1\). Zbl 0880.16003
Bavula, Vladimir
1
1996
Filter dimension and its application. Zbl 0891.16018
Bavula, Vladimir V.
1
1998
Weakly left localizable rings. Zbl 1387.16029
Bavula, V. V.
1
2017
Computation of \(H^*(sl(2),M)\) with coefficients in a simple \(sl(2)\)- module. Zbl 0760.17019
Bavula, V. V.
1
1992
The groups \(K_1 (\mathbb{S}_n, p)\) of the algebra of one-sided inverses of a polynomial algebra. Zbl 1399.16063
Bavula, V. V.
1
2017
The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence. Zbl 1418.17038
Bavula, V. V.
1
2017
The groups of automorphisms of the Witt \(W_n\) and Virasoro Lie algebras. Zbl 1389.17017
Bavula, Vladimir V.
1
2016
The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence. (Le groupe d’automorphismes de l’algébre de Lie des champs de vecteurs formellement analytiques à divergence constante.) Zbl 1296.17009
Bavula, Vladimir V.
1
2014
Criteria for a ring to have a left Noetherian left quotient ring. Zbl 1401.16024
Bavula, V. V.
1
2018
Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators. Zbl 1431.16022
Bavula, V.; Bekkert, V.; Futorny, V.
1
2018
Left localizable rings and their characterizations. Zbl 1401.16033
Bavula, V. V.
2
2019
Characterization of multiplication commutative rings with finitely many minimal prime ideals. Zbl 1422.13010
Alsuraiheed, T.; Bavula, V. V.
2
2019
The universal enveloping algebra \(U(\mathfrak{sl}_2\ltimes V_2)\), its prime spectrum and a classification of its simple weight modules. Zbl 1396.17011
Bavula, Vladimir V.; Lu, Tao
7
2018
Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005
Bavula, V. V.; Lu, Tao
2
2018
Criteria for a ring to have a left Noetherian largest left quotient ring. Zbl 1391.16023
Bavula, V. V.
2
2018
The prime spectrum of the algebra \(\mathbb{K}_q[X,Y] \rtimes U_q(\mathfrak{sl}_2)\) and a classification of simple weight modules. Zbl 1408.17003
Bavula, Vladimir V.; Lu, Tao
1
2018
Criteria for a ring to have a left Noetherian left quotient ring. Zbl 1401.16024
Bavula, V. V.
1
2018
Indecomposable generalized weight modules over the algebra of polynomial integro-differential operators. Zbl 1431.16022
Bavula, V.; Bekkert, V.; Futorny, V.
1
2018
Quiver generalized Weyl algebras, skew category algebras and diskew polynomial rings. Zbl 1381.16014
Bavula, V. V.
6
2017
The group of automorphisms of the Lie algebra of derivations of a polynomial algebra. Zbl 1407.17020
Bavula, V. V.
3
2017
The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020
Bavula, V. V.; Lu, T.
3
2017
Prime ideals of the enveloping algebra of the Euclidean algebra and a classification of its simple weight modules. Zbl 1393.17023
Bavula, V. V.; Lu, T.
2
2017
Weakly left localizable rings. Zbl 1387.16029
Bavula, V. V.
1
2017
The groups \(K_1 (\mathbb{S}_n, p)\) of the algebra of one-sided inverses of a polynomial algebra. Zbl 1399.16063
Bavula, V. V.
1
2017
The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence. Zbl 1418.17038
Bavula, V. V.
1
2017
The largest left quotient ring of a ring. Zbl 1353.16037
Bavula, V. V.
9
2016
The prime spectrum and simple modules over the quantum spatial ageing algebra. Zbl 1410.17013
Bavula, V. V.; Lu, Tao
7
2016
Left localizations of left Artinian rings. Zbl 1375.16018
Bavula, V. V.
7
2016
The groups of automorphisms of the Witt \(W_n\) and Virasoro Lie algebras. Zbl 1389.17017
Bavula, Vladimir V.
1
2016
New criteria for a ring to have a semisimple left quotient ring. Zbl 1332.16023
Bavula, V. V.
8
2015
The largest strong left quotient ring of a ring. Zbl 1334.16033
Bavula, V. V.
5
2015
The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra. II. Zbl 1331.16031
Bavula, V. V.
3
2015
Characterizations of left orders in left Artinian rings. Zbl 1302.16011
Bavula, V. V.
6
2014
The algebra of polynomial integro-differential operators is a holonomic bimodule over the subalgebra of polynomial differential operators. Zbl 1305.16019
Bavula, V. V.
4
2014
The groups of automorphisms of the Lie algebras of triangular polynomial derivations. Zbl 1281.17019
Bavula, V. V.
4
2014
The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence. (Le groupe d’automorphismes de l’algébre de Lie des champs de vecteurs formellement analytiques à divergence constante.) Zbl 1296.17009
Bavula, Vladimir V.
1
2014
The algebra of integro-differential operators on an affine line and its modules. Zbl 1272.16027
Bavula, V. V.
22
2013
Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras. Zbl 1286.17022
Bavula, V. V.
5
2013
An analogue of the conjecture of Dixmier is true for the algebra of polynomial integro-differential operators. Zbl 1278.16024
Bavula, V. V.
8
2012
The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). Zbl 1250.16028
Bavula, V. V.
4
2012
Every monomorphism of the Lie algebra of triangular polynomial derivations is an automorphism. Zbl 1264.17014
Bavula, Vladimir V.
3
2012
The algebra of integro-differential operators on a polynomial algebra. Zbl 1225.16010
Bavula, V. V.
13
2011
The group of automorphisms of the algebra of polynomial integro-differential operators. Zbl 1258.16039
Bavula, V. V.
5
2011
On the eigenvector algebra of the product of elements with commutator one in the first Weyl algebra. Zbl 1230.16021
Bavula, V. V.
1
2011
Extensions of the Frobenius to the ring of differential operators on a polynomial algebra in prime characteristic. Zbl 1213.13013
Bavula, V. V.
1
2011
The algebra of one-sided inverses of a polynomial algebra. Zbl 1226.16018
Bavula, V. V.
10
2010
Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety. Zbl 1184.13075
Bavula, V. V.
4
2010
The Jacobian algebras. Zbl 1162.16015
Bavula, V. V.
7
2009
Dimension, multiplicity, holonomic modules, and an analogue of the inequality of Bernstein for rings of differential operators in prime characteristic. Zbl 1234.13025
Bavula, V. V.
6
2009
The group of automorphisms of the first Weyl algebra in prime characteristic and the restriction map. Zbl 1184.16041
Bavula, V. V.
6
2009
The group of order preserving automorphisms of the ring of differential operators on a Laurent polynomial algebra in prime characteristic. Zbl 1170.16024
Bavula, V. V.
4
2009
The inversion formulae for automorphisms of polynomial algebras and rings of differential operators in prime characteristic. Zbl 1149.13013
Bavula, V. V.
8
2008
Simple derivations of differentiably simple Noetherian commutative rings in prime characteristic. Zbl 1153.13022
Bavula, V. V.
2
2008
Finite generation of the group of eigenvalues for sets of derivations or automorphisms of division algebras. Zbl 1168.16008
Bavula, V. V.
1
2008
The inversion formula for automorphisms of the Weyl algebras and polynomial algebras. Zbl 1128.13017
Bavula, V. V.
19
2007
Generators and defining relations for ring of invariants of commuting locally nilpotent derivations or automorphisms. Zbl 1129.16019
Bavula, V. V.
2
2007
Dixmier’s problem 6 for the Weyl algebra (the generic type problem). Zbl 1094.16016
Bavula, V. V.
3
2006
Filter dimension. Zbl 1211.16017
Bavula, V.
2
2006
Dixmier’s problem 5 for the Weyl algebra. Zbl 1069.16031
Bavula, V. V.
7
2005
Dixmier’s problem 6 for somewhat commutative algebras and Dixmier’s problem 3 for the ring of differential operators on a smooth irreducible affine curve. Zbl 1095.16012
Bavula, V. V.
3
2005
Gelfand-Kirillov dimension of commutative subalgebras of simple infinite dimensional algebras and their quotient division algebras. Zbl 1083.16015
Bavula, V.
2
2005
Lüroth field extensions. Zbl 1100.13009
Bavula, V.
2
2005
Structure of maximal commutative subalgebras of the first Weyl algebra. Zbl 1120.16022
Bavula, V. V.
1
2005
Simple modules of the Witten-Woronowicz algebra. Zbl 1047.16001
Bavula, V.; Van Oystaeyen, F.
11
2004
Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Zbl 0961.16016
Bavula, V. V.; Jordan, D. A.
49
2001
Generalized Weyl algebras are tensor Krull minimal. Zbl 1013.16014
Bavula, V. V.; Lenagan, T. H.
9
2001
A question of Rentschler and the Dixmier problem. Zbl 0995.16019
Bavula, V. V.
8
2001
Krull dimension of generalized Weyl algebras with noncommutative coefficients. Zbl 0998.16014
Bavula, V. V.; Lenagan, T. H.
6
2001
Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2. Zbl 1017.16016
Bavula, V.; Van Oystaeyen, F.
2
2001
Indecomposable representations of generalized Weyl algebras. Zbl 0963.17004
Bavula, Vladimir; Bekkert, Viktor
22
2000
Simple holonomic modules over the second Weyl algebra \(A_2\). Zbl 0947.16008
Bavula, V.; Van Oystaeyen, F.
9
2000
The simple modules of the Lie superalgebra \(osp (1,2)\). Zbl 1006.17009
Bavula, V.; van Oystaeyen, F.
8
2000
The extension group of the simple modules over the first Weyl algebra. Zbl 1021.16002
Bavula, V. V.
3
2000
Krull, Gelfand-Kirillov, filter, faithful and Schur dimensions. Zbl 0988.16014
Bavula, Vladimir
2
2000
The simple modules of the Ore extensions with coefficients from a Dedekind ring. Zbl 0944.16001
Bavula, V.
11
1999
A Bernstein-Gabber-Joseph theorem for affine algebras. Zbl 0938.16013
Bavula, V. V.; Lenagan, T. H.
1
1999
Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients. Zbl 0923.16022
Bavula, V.; Van Oystaeyen, F.
14
1998
Krull, Gelfand-Kirillov, and filter dimensions of simple affine algebras. Zbl 0908.16022
Bavula, Vladimir
5
1998
Filter dimension and its application. Zbl 0891.16018
Bavula, Vladimir V.
1
1998
The simple modules of certain generalized crossed products. Zbl 0927.16002
Bavula, V.; Van Oystaeyen, F.
26
1997
Classification of the simple modules of the quantum Weyl algebra and the quantum plane. Zbl 0890.17012
Bavula, Vladimir
4
1997
Global dimension of generalized Weyl algebras. Zbl 0857.16025
Bavula, Vladimir
23
1996
Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras. Zbl 0855.16010
Bavula, Vladimir
21
1996
Filter dimension of algebras and modules, a simplicity criterion of generalized Weyl algebras. Zbl 0855.16005
Bavula, Vladimir
18
1996
Classification of modules of Gel’fand-Kirillov dimension \(n\) and multiplicity \(1\) over the Weyl algebra \(A_n\). Zbl 0906.16010
Bavula, V. V.
2
1996
Module structure of the tensor product of simple algebras of Krull dimension \(1\). Zbl 0880.16003
Bavula, Vladimir
1
1996
Each Schurian algebra is tensor-simple. Zbl 0832.16001
Bavula, Vladimir
3
1995
Identification of the Hilbert function and Poincaré series, and the dimension of modules over filtered rings. Zbl 0845.16018
Bavula, V. V.
3
1994
Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0806.17023
Bavula, Vladimir
20
1993
Description of two-sided ideals in a class of noncommutative rings. II. Zbl 0809.16002
Bavula, V. V.
13
1993
Description of two-sided ideals in a class of noncommutative rings. I. Zbl 0809.16001
Bavula, V. V.
12
1993
Extreme modules over the Weyl algebra \(A_ n\). Zbl 0829.16005
Bavula, V. V.
2
1993
Generalized Weyl algebras and their representations. Zbl 0807.16027
Bavula, V. V.
97
1992
Simple \(D[X,Y;\sigma,a]\)-modules. Zbl 0810.16003
Bavula, V. V.
16
1992
Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0802.17006
Bavula, Vladimir
5
1992
Computation of \(H^*(sl(2),M)\) with coefficients in a simple \(sl(2)\)- module. Zbl 0760.17019
Bavula, V. V.
1
1992
Finite dimensionality of \(\text{Ext}^ n\)’s and \(\text{Tor}_ n\)’s of simple modules over one class of algebras. Zbl 0755.17018
Bavula, V. V.
31
1991
Classification of simple sl(2)-modules and finite-dimensionality of the module of extensions of simple sl(2)-modules. Zbl 0717.17008
Bavula, V. V.
8
1990
Some generalizations of the Eisenstein criterion. Zbl 0716.16014
Bavula, V. V.
3
1990
all top 5

Cited by 250 Authors

78 Bavula, Vladimir V.
15 Futorny, Vyacheslav M.
14 Hartwig, Jonas T.
9 Lu, Tao
8 van Oystaeyen, Freddy
7 Mazorchuk, Volodymyr
7 Solotar, Andrea Leonor
6 Gaddis, Jason
6 Jordan, David Alan
6 Zhao, Kaiming
5 Lopes, Samuel A.
4 Bell, Jason P.
4 Benkart, Georgia M.
4 Bergen, Jeffrey
4 Brzeziński, Tomasz
4 Carvalho, Paula A. A. B.
4 Grzeszczuk, Piotr
4 Launois, Stéphane
4 Lü, Rencai
4 Ovsienko, Sergei A.
4 Prest, Mike
4 Tang, Xin
4 Won, Robert
3 Bekkert, Viktor
3 Cai, Yanan
3 Kirkman, Ellen E.
3 Lenagan, Thomas H.
3 Liu, Genqiang
3 Lomp, Christian
3 Ondrus, Matthew
3 Regensburger, Georg
3 Richard, Lionel
3 Rosenkranz, Markus
3 Schwarz, João Fernando
3 Suarez-Alvarez, Mariano
3 Valqui, Christian
3 Zhang, James J.
2 Agore, Ana-Loredana
2 Alsuraiheed, T.
2 Ara, Pere
2 Cassidy, Thomas
2 Catoiu, Stefan
2 Çeken, Seçil
2 Fish, Christopher D.
2 Grantcharov, Dimitar
2 Guccione, Jorge Alberto
2 Guccione, Juan José
2 Guo, Li
2 Gupta, Ashish
2 Herscovich, Estanislao
2 Kanel’-Belov, Alekseĭ Yakovlevich
2 Kitchin, Andrew P.
2 Kutsenko, Anton A.
2 Li, Yang
2 Militaru, Gigel
2 Musson, Ian M.
2 Nauwelaerts, Erna
2 Öinert, Johan
2 Palmieri, John H.
2 Petravchuk, Anatolii P.
2 Plaza Martín, Francisco José
2 Puninski, Gennadi
2 Reyes, Armando
2 Richter, Johan
2 Rosso, Daniele
2 Serganova, Vera V.
2 Shelton, Brad
2 Silvestrov, Sergei D.
2 Tejero Prieto, Carlos
2 Tikaradze, Akaki
2 Vivas, Quimey
2 Wang, Yanhua
2 Wang, Yongjie
2 Yu, Jie-Tai
2 Zhang, Xiufu
1 Abrams, Gene D.
1 Ahmad, Hamza
1 Alahmedi, Adel
1 Almulhem, Munerah
1 Alnefaie, K. A.
1 Alsulami, Hamed Hamdan
1 Arnal, Didier
1 Artamonov, Vyacheslav Aleksandrovich
1 Bahturin, Yuri
1 Batra, Punita
1 Ben Ammar, Mabrouk
1 Billig, Yuly
1 Bokut, Leonid A.
1 Bondarenko, Vitalij M.
1 Borges, Inês
1 Boudi, Nadia
1 Boulier, François
1 Bovdi, Victor A.
1 Boyette, J.
1 Caro-Tuesta, N.
1 Chan, Kenneth S.
1 Chen, Chih-Whi
1 Cho, Eun-Hee
1 Crawley-Boevey, William
1 Creutzig, Thomas
...and 150 more Authors
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Cited in 62 Serials

65 Journal of Algebra
32 Communications in Algebra
23 Journal of Pure and Applied Algebra
22 Journal of Algebra and its Applications
13 Algebras and Representation Theory
10 Proceedings of the American Mathematical Society
9 Transactions of the American Mathematical Society
8 Glasgow Mathematical Journal
7 Israel Journal of Mathematics
4 Letters in Mathematical Physics
3 Journal of Mathematical Physics
3 Ukrainian Mathematical Journal
3 Advances in Mathematics
3 Canadian Mathematical Bulletin
3 Linear Algebra and its Applications
3 Transformation Groups
3 Representation Theory
3 Mathematics in Computer Science
3 Journal of Noncommutative Geometry
2 Mathematical Notes
2 Reports on Mathematical Physics
2 Annales de l’Institut Fourier
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 International Journal of Algebra and Computation
2 Journal of Lie Theory
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of \(K\)-Theory
2 Science China. Mathematics
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Linear and Multilinear Algebra
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nuclear Physics. B
1 Applied Mathematics and Computation
1 Bulletin of the London Mathematical Society
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Mathematische Zeitschrift
1 Revista Colombiana de Matemáticas
1 Tohoku Mathematical Journal. Second Series
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 Proceedings of the National Academy of Sciences of the United States of America
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Selecta Mathematica. New Series
1 Annals of Mathematics. Second Series
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Contemporary Mathematics
1 Qualitative Theory of Dynamical Systems
1 Journal of the Australian Mathematical Society
1 Communications on Pure and Applied Analysis
1 Mediterranean Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 International Electronic Journal of Algebra (IEJA)
1 Involve
1 São Paulo Journal of Mathematical Sciences
1 Arabian Journal of Mathematics
1 Communications in Mathematics and Statistics
1 Journal of Mathematics

Citations by Year