Edit Profile (opens in new tab) Bavula, Vladimir V. Co-Author Distance Author ID: bavula.vladimir-v Published as: Bavula, V. V.; Bavula, V.; Bavula, Vladimir; Bavula, Vladimir V.; Bavula, Volodymyr V.; Bavula, Volodymyr more...less External Links: MGP Documents Indexed: 143 Publications since 1990, including 12 Additional arXiv Preprints Co-Authors: 12 Co-Authors with 34 Joint Publications 408 Co-Co-Authors all top 5 Co-Authors 108 single-authored 11 Lu, Tao 6 van Oystaeyen, Freddy 4 Lenagan, Thomas H. 3 Alsuraiheed, Turki 3 Bekkert, Viktor 3 Futorny, Vyacheslav M. 1 Akcin, H. Melis Tekin 1 Hakami, K. 1 Hinchcliffe, V. 1 Jordan, David Alan 1 Khabyah, Ali Al 1 Levandovskyy, Viktor all top 5 Serials 16 Journal of Algebra 14 Communications in Algebra 12 Journal of Pure and Applied Algebra 9 Journal of Algebra and its Applications 6 Algebras and Representation Theory 5 Ukrainian Mathematical Journal 5 Glasgow Mathematical Journal 5 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Mathematics in Computer Science 3 Ukraïns’kyĭ Matematychnyĭ Zhurnal 3 Canadian Mathematical Bulletin 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 Debrecen 1 Tokyo Journal of Mathematics 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 St. Petersburg Mathematical Journal 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Representation Theory 1 The Asian Journal of Mathematics 1 Annals of Mathematics. Second Series 1 Algebra and Discrete Mathematics 1 Journal of Noncommutative Geometry 1 Münster Journal of Mathematics 1 Journal of \(K\)-Theory all top 5 Fields 115 Associative rings and algebras (16-XX) 36 Nonassociative rings and algebras (17-XX) 29 Commutative algebra (13-XX) 18 Algebraic geometry (14-XX) 3 Field theory and polynomials (12-XX) 3 Group theory and generalizations (20-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 103 Publications have been cited 930 times in 367 Documents Cited by ▼ Year ▼ Generalized Weyl algebras and their representations. Zbl 0807.16027 Bavula, V. V. 135 1992 Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Zbl 0961.16016 Bavula, V. V.; Jordan, D. A. 59 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. 33 1991 The simple modules of certain generalized crossed products. Zbl 0927.16002 Bavula, V.; Van Oystaeyen, F. 32 1997 Global dimension of generalized Weyl algebras. Zbl 0857.16025 Bavula, Vladimir 29 1996 The algebra of integro-differential operators on an affine line and its modules. Zbl 1272.16027 Bavula, V. V. 26 2013 Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras. Zbl 0855.16010 Bavula, Vladimir 23 1996 Indecomposable representations of generalized Weyl algebras. Zbl 0963.17004 Bavula, Vladimir; Bekkert, Viktor 22 2000 Simple \(D[X,Y;\sigma,a]\)-modules. Zbl 0810.16003 Bavula, V. V. 22 1992 Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0806.17023 Bavula, Vladimir 22 1993 Filter dimension of algebras and modules, a simplicity criterion of generalized Weyl algebras. Zbl 0855.16005 Bavula, Vladimir 20 1996 The inversion formula for automorphisms of the Weyl algebras and polynomial algebras. Zbl 1128.13017 Bavula, V. V. 19 2007 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 19 2018 The simple modules of the Ore extensions with coefficients from a Dedekind ring. Zbl 0944.16001 Bavula, V. 17 1999 The algebra of integro-differential operators on a polynomial algebra. Zbl 1225.16010 Bavula, V. V. 16 2011 Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients. Zbl 0923.16022 Bavula, V.; Van Oystaeyen, F. 15 1998 Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005 Bavula, V. V.; Lu, Tao 15 2018 The algebra of one-sided inverses of a polynomial algebra. Zbl 1226.16018 Bavula, V. V. 14 2010 Description of two-sided ideals in a class of noncommutative rings. II. Zbl 0809.16002 Bavula, V. V. 14 1993 Simple modules of the Witten-Woronowicz algebra. Zbl 1047.16001 Bavula, V.; Van Oystaeyen, F. 13 2004 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. 13 1990 Description of two-sided ideals in a class of noncommutative rings. I. Zbl 0809.16001 Bavula, V. V. 13 1993 The prime spectrum and simple modules over the quantum spatial ageing algebra. Zbl 1410.17013 Bavula, V. V.; Lu, Tao 13 2016 Simple holonomic modules over the second Weyl algebra \(A_2\). Zbl 0947.16008 Bavula, V.; Van Oystaeyen, F. 12 2000 The largest left quotient ring of a ring. Zbl 1353.16037 Bavula, V. V. 12 2016 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. 10 2009 New criteria for a ring to have a semisimple left quotient ring. Zbl 1332.16023 Bavula, V. V. 10 2015 The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. Zbl 1472.17023 Bavula, V. V.; Lu, T. 10 2018 Quiver generalized Weyl algebras, skew category algebras and diskew polynomial rings. Zbl 1381.16014 Bavula, V. V. 9 2017 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. 9 2001 An analogue of the conjecture of Dixmier is true for the algebra of polynomial integro-differential operators. Zbl 1278.16024 Bavula, V. V. 9 2012 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 Dixmier’s problem 5 for the Weyl algebra. Zbl 1069.16031 Bavula, V. V. 8 2005 Classification of the simple modules of the quantum Weyl algebra and the quantum plane. Zbl 0890.17012 Bavula, Vladimir 8 1997 Left localizations of left Artinian rings. Zbl 1375.16018 Bavula, V. V. 8 2016 Krull dimension of generalized Weyl algebras with noncommutative coefficients. Zbl 0998.16014 Bavula, V. V.; Lenagan, T. H. 7 2001 Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety. Zbl 1184.13075 Bavula, V. V. 7 2010 The Jacobian algebras. Zbl 1162.16015 Bavula, V. V. 7 2009 The group of automorphisms of the first Weyl algebra in prime characteristic and the restriction map. Zbl 1184.16041 Bavula, V. V. 7 2009 Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0802.17006 Bavula, Vladimir 7 1992 Krull, Gelfand-Kirillov, and filter dimensions of simple affine algebras. Zbl 0908.16022 Bavula, Vladimir 6 1998 The group of automorphisms of the algebra of polynomial integro-differential operators. Zbl 1258.16039 Bavula, V. V. 6 2011 Characterizations of left orders in left Artinian rings. Zbl 1302.16011 Bavula, V. V. 6 2014 Identification of the Hilbert function and Poincaré series, and the dimension of modules over filtered rings. Zbl 0845.16018 Bavula, V. V. 5 1994 The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020 Bavula, V. V.; Lu, T. 5 2017 The largest strong left quotient ring of a ring. Zbl 1334.16033 Bavula, V. V. 5 2015 Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras. Zbl 1286.17022 Bavula, V. V. 5 2013 Characterization of multiplication commutative rings with finitely many minimal prime ideals. Zbl 1422.13010 Alsuraiheed, T.; Bavula, V. V. 5 2019 Every monomorphism of the Lie algebra of triangular polynomial derivations is an automorphism. Zbl 1264.17014 Bavula, Vladimir V. 4 2012 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 group of automorphisms of the Jacobian algebra \(\mathbb A_n\). Zbl 1250.16028 Bavula, V. V. 4 2012 Dixmier’s problem 6 for the Weyl algebra (the generic type problem). Zbl 1094.16016 Bavula, V. V. 4 2006 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 algebra of one-sided inverses of a polynomial algebra. II. Zbl 1331.16031 Bavula, V. V. 4 2015 The group of automorphisms of the Lie algebra of derivations of a polynomial algebra. Zbl 1407.17020 Bavula, V. V. 4 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. 4 2017 Generalized Weyl algebras and diskew polynomial rings. Zbl 1464.16018 Bavula, V. V. 4 2020 The groups of automorphisms of the Lie algebras of triangular polynomial derivations. Zbl 1281.17019 Bavula, V. V. 4 2014 Structure of maximal commutative subalgebras of the first Weyl algebra. Zbl 1120.16022 Bavula, V. V. 3 2005 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 Criteria for a ring to have a left Noetherian largest left quotient ring. Zbl 1391.16023 Bavula, V. V. 3 2018 Extreme modules over the Weyl algebra \(A_ n\). Zbl 0829.16005 Bavula, V. V. 3 1993 Some generalizations of the Eisenstein criterion. Zbl 0716.16014 Bavula, V. V. 3 1990 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 Classification of simple modules of the Ore extension \(K[X][Y; f\frac{d}{dX}]\). Zbl 1462.16027 Bavula, V. V. 3 2020 Filter dimension. Zbl 1211.16017 Bavula, V. 3 2006 Left localizable rings and their characterizations. Zbl 1401.16033 Bavula, V. V. 3 2019 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 3 2018 Derivations and skew derivations of the Grassmann algebras. Zbl 1200.16052 Bavula, V. V. 2 2009 The Jacobian map, the Jacobian group and the group of automorphisms of the Grassmann algebra. Zbl 1194.14085 Bavula, Vladimir V. 2 2010 Generators and defining relations for ring of invariants of commuting locally nilpotent derivations or automorphisms. Zbl 1129.16019 Bavula, V. V. 2 2007 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 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 Module structure of the tensor product of simple algebras of Krull dimension \(1\). Zbl 0880.16003 Bavula, Vladimir 2 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 The groups of automorphisms of the Witt \(W_n\) and Virasoro Lie algebras. Zbl 1389.17017 Bavula, Vladimir V. 2 2016 The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence. Zbl 1418.17038 Bavula, V. V. 2 2017 Simple derivations of differentiably simple Noetherian commutative rings in prime characteristic. Zbl 1153.13022 Bavula, V. V. 2 2008 Criteria for a direct sum of modules to be a multiplication module over noncommutative rings. Zbl 1482.16005 Alsuraiheed, T.; Bavula, V. V. 2 2021 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 A Bernstein-Gabber-Joseph theorem for affine algebras. Zbl 0938.16013 Bavula, V. V.; Lenagan, T. H. 1 1999 Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic. Zbl 1184.13074 Bavula, V. V. 1 2010 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 Computation of \(H^*(sl(2),M)\) with coefficients in a simple \(sl(2)\)- module. Zbl 0760.17019 Bavula, V. V. 1 1992 Filter dimension and its application. Zbl 0891.16018 Bavula, Vladimir V. 1 1998 Morita invariance of the filter dimension and of the inequality of Bernstein. Zbl 1178.16003 Bavula, V. V.; Hinchcliffe, V. 1 2008 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 Weakly left localizable rings. Zbl 1387.16029 Bavula, V. V. 1 2017 Torsion simple modules over the quantum spatial ageing algebra. Zbl 1378.16033 Bavula, V. V.; Lu, T. 1 2017 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 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 prime ideals and simple modules of the universal enveloping algebra \(U(\mathfrak{b}\ltimes V_2)\). Zbl 1477.17055 Bavula, Volodymyr V.; Lu, Tao 1 2020 Description of bi-quadratic algebras on 3 generators with PBW basis. Zbl 07710318 Bavula, V. V. 1 2023 Description of bi-quadratic algebras on 3 generators with PBW basis. Zbl 07710318 Bavula, V. V. 1 2023 Isomorphism problems and groups of automorphisms for Ore extensions \(K[x][y;\delta]\) (zero characteristic). Zbl 07676300 Bavula, V. V. 1 2023 Localizations of a ring at localizable sets, their groups of units and saturations. Zbl 07557142 Bavula, V. V. 1 2022 Criteria for a direct sum of modules to be a multiplication module over noncommutative rings. Zbl 1482.16005 Alsuraiheed, T.; Bavula, V. V. 2 2021 Generalized Weyl algebras and diskew polynomial rings. Zbl 1464.16018 Bavula, V. V. 4 2020 Classification of simple modules of the Ore extension \(K[X][Y; f\frac{d}{dX}]\). Zbl 1462.16027 Bavula, V. V. 3 2020 The prime ideals and simple modules of the universal enveloping algebra \(U(\mathfrak{b}\ltimes V_2)\). Zbl 1477.17055 Bavula, Volodymyr V.; Lu, Tao 1 2020 The Jacobian Conjecture\(_{2n}\) implies the Dixmier Problem\(_n\). Zbl 1470.14120 Bavula, Vladimir V. 1 2020 Characterization of multiplication commutative rings with finitely many minimal prime ideals. Zbl 1422.13010 Alsuraiheed, T.; Bavula, V. V. 5 2019 Left localizable rings and their characterizations. Zbl 1401.16033 Bavula, V. V. 3 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 19 2018 Classification of simple weight modules over the Schrödinger algebra. Zbl 1426.17005 Bavula, V. V.; Lu, Tao 15 2018 The universal enveloping algebra of the Schrödinger algebra and its prime spectrum. Zbl 1472.17023 Bavula, V. V.; Lu, T. 10 2018 Criteria for a ring to have a left Noetherian largest left quotient ring. Zbl 1391.16023 Bavula, V. V. 3 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 3 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. 9 2017 The quantum Euclidean algebra and its prime spectrum. Zbl 1419.17020 Bavula, V. V.; Lu, T. 5 2017 The group of automorphisms of the Lie algebra of derivations of a polynomial algebra. Zbl 1407.17020 Bavula, V. V. 4 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. 4 2017 The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence. Zbl 1418.17038 Bavula, V. V. 2 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 Weakly left localizable rings. Zbl 1387.16029 Bavula, V. V. 1 2017 Torsion simple modules over the quantum spatial ageing algebra. Zbl 1378.16033 Bavula, V. V.; Lu, T. 1 2017 The prime spectrum and simple modules over the quantum spatial ageing algebra. Zbl 1410.17013 Bavula, V. V.; Lu, Tao 13 2016 The largest left quotient ring of a ring. Zbl 1353.16037 Bavula, V. V. 12 2016 Left localizations of left Artinian rings. Zbl 1375.16018 Bavula, V. V. 8 2016 The groups of automorphisms of the Witt \(W_n\) and Virasoro Lie algebras. Zbl 1389.17017 Bavula, Vladimir V. 2 2016 New criteria for a ring to have a semisimple left quotient ring. Zbl 1332.16023 Bavula, V. V. 10 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. 4 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. 26 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. 9 2012 Every monomorphism of the Lie algebra of triangular polynomial derivations is an automorphism. Zbl 1264.17014 Bavula, Vladimir V. 4 2012 The group of automorphisms of the Jacobian algebra \(\mathbb A_n\). Zbl 1250.16028 Bavula, V. V. 4 2012 The algebra of integro-differential operators on a polynomial algebra. Zbl 1225.16010 Bavula, V. V. 16 2011 The group of automorphisms of the algebra of polynomial integro-differential operators. Zbl 1258.16039 Bavula, V. V. 6 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. 14 2010 Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety. Zbl 1184.13075 Bavula, V. V. 7 2010 The Jacobian map, the Jacobian group and the group of automorphisms of the Grassmann algebra. Zbl 1194.14085 Bavula, Vladimir V. 2 2010 Generators and defining relations for the ring of differential operators on a smooth affine algebraic variety in prime characteristic. Zbl 1184.13074 Bavula, V. V. 1 2010 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. 10 2009 The Jacobian algebras. Zbl 1162.16015 Bavula, V. V. 7 2009 The group of automorphisms of the first Weyl algebra in prime characteristic and the restriction map. Zbl 1184.16041 Bavula, V. V. 7 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 Derivations and skew derivations of the Grassmann algebras. Zbl 1200.16052 Bavula, V. V. 2 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 Morita invariance of the filter dimension and of the inequality of Bernstein. Zbl 1178.16003 Bavula, V. V.; Hinchcliffe, V. 1 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. 4 2006 Filter dimension. Zbl 1211.16017 Bavula, V. 3 2006 Dixmier’s problem 5 for the Weyl algebra. Zbl 1069.16031 Bavula, V. V. 8 2005 Structure of maximal commutative subalgebras of the first Weyl algebra. Zbl 1120.16022 Bavula, V. V. 3 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 Simple modules of the Witten-Woronowicz algebra. Zbl 1047.16001 Bavula, V.; Van Oystaeyen, F. 13 2004 Isomorphism problems and groups of automorphisms for generalized Weyl algebras. Zbl 0961.16016 Bavula, V. V.; Jordan, D. A. 59 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. 9 2001 Krull dimension of generalized Weyl algebras with noncommutative coefficients. Zbl 0998.16014 Bavula, V. V.; Lenagan, T. H. 7 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. 12 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. 17 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. 15 1998 Krull, Gelfand-Kirillov, and filter dimensions of simple affine algebras. Zbl 0908.16022 Bavula, Vladimir 6 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. 32 1997 Classification of the simple modules of the quantum Weyl algebra and the quantum plane. Zbl 0890.17012 Bavula, Vladimir 8 1997 Global dimension of generalized Weyl algebras. Zbl 0857.16025 Bavula, Vladimir 29 1996 Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras. Zbl 0855.16010 Bavula, Vladimir 23 1996 Filter dimension of algebras and modules, a simplicity criterion of generalized Weyl algebras. Zbl 0855.16005 Bavula, Vladimir 20 1996 Module structure of the tensor product of simple algebras of Krull dimension \(1\). Zbl 0880.16003 Bavula, Vladimir 2 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 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. 5 1994 Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0806.17023 Bavula, Vladimir 22 1993 Description of two-sided ideals in a class of noncommutative rings. II. Zbl 0809.16002 Bavula, V. V. 14 1993 Description of two-sided ideals in a class of noncommutative rings. I. Zbl 0809.16001 Bavula, V. V. 13 1993 Extreme modules over the Weyl algebra \(A_ n\). Zbl 0829.16005 Bavula, V. V. 3 1993 Generalized Weyl algebras and their representations. Zbl 0807.16027 Bavula, V. V. 135 1992 Simple \(D[X,Y;\sigma,a]\)-modules. Zbl 0810.16003 Bavula, V. V. 22 1992 Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules. Zbl 0802.17006 Bavula, Vladimir 7 1992 Computation of \(H^*(sl(2),M)\) with coefficients in a simple \(sl(2)\)- module. Zbl 0760.17019 Bavula, V. V. 1 1992 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 341 Authors 86 Bavula, Vladimir V. 17 Futorny, Vyacheslav M. 17 Hartwig, Jonas T. 10 Gaddis, Jason 10 Lu, Tao 8 Lopes, Samuel A. 8 Mazorchuk, Volodymyr 8 van Oystaeyen, Freddy 7 Cai, Yanan 7 Solotar, Andrea Leonor 6 Jordan, David Alan 6 Rosso, Daniele 6 Won, Robert 6 Zhao, Kaiming 5 Carvalho, Paula A. A. B. 5 Lü, Rencai 5 Reyes, Armando 4 Bell, Jason P. 4 Benkart, Georgia McClure 4 Bergen, Jeffrey 4 Brzeziński, Tomasz 4 Chen, Zhengxin 4 Grzeszczuk, Piotr 4 Guo, Xiangqian 4 Launois, Stéphane 4 Ovsienko, Sergei A. 4 Prest, Mike 4 Regensburger, Georg 4 Schwarz, João Fernando 4 Tang, Xin 4 Wang, Yu 4 Zhang, James J. 3 Bahturin, Yuri 3 Bekkert, Viktor 3 Billig, Yuly 3 Kirkman, Ellen E. 3 Kitchin, Andrew P. 3 Lenagan, Thomas H. 3 Liu, Genqiang 3 Lomp, Christian 3 Militaru, Gigel 3 Ondrus, Matthew 3 Plaza Martín, Francisco José 3 Puninski, Gena 3 Richard, Lionel 3 Rosenkranz, Markus 3 Serganova, Vera V. 3 Shihadeh, Abdallah 3 Suarez-Alvarez, Mariano 3 Tejero Prieto, Carlos 3 Valqui, Christian 2 Agore, Ana-Loredana 2 Alsuraiheed, Turki 2 Ara, Pere 2 Cassidy, Thomas 2 Catoiu, Stefan 2 Çeken, Seçil 2 Chan, Kenneth S. 2 Chen, Hongjia 2 Cluzeau, Thomas 2 Fish, Christopher D. 2 Funch Thomsen, Jesper 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 Kutsenko, Anton A. 2 Lauritzen, Niels 2 Leites, Dimitry A. 2 Lezama, Oswaldo 2 Li, Shujuan 2 Li, Yang 2 Lopatin, Artem A. 2 Matczuk, Jerzy 2 Musson, Ian M. 2 Nauwelaerts, Erna 2 Nilsson, Jonathan 2 Öinert, Johan 2 Palmieri, John H. 2 Petravchuk, Anatolii P. 2 Quadrat, Alban 2 Razavinia, Farrokh 2 Regeta, Andriy 2 Richter, Johan 2 Rodriguez Palma, Carlos Arturo 2 Shelton, Brad 2 Silvestrov, Sergei D. 2 Tikaradze, Akaki 2 Vivas, Quimey 2 Wang, Longhui 2 Wang, Xingting 2 Wang, Yanhua 2 Wang, Yongjie 2 Yu, Jie-Tai 2 Zhang, Xiufu 2 Zhao, Xiangui 1 Abdollah, Zahra ...and 241 more Authors all top 5 Cited in 83 Serials 77 Journal of Algebra 41 Communications in Algebra 27 Journal of Pure and Applied Algebra 26 Journal of Algebra and its Applications 17 Algebras and Representation Theory 12 Proceedings of the American Mathematical Society 10 Transactions of the American Mathematical Society 9 Glasgow Mathematical Journal 7 Israel Journal of Mathematics 6 Linear Algebra and its Applications 5 Journal of Lie Theory 4 Journal of Mathematical Physics 4 Letters in Mathematical Physics 4 International Journal of Algebra and Computation 4 Mathematics in Computer Science 4 Science China. 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RACSAM 1 Communications in Mathematics 1 Arabian Journal of Mathematics 1 Journal of Mathematics 1 Algebraic Combinatorics 1 Journal of Algebraic Systems all top 5 Cited in 32 Fields 270 Associative rings and algebras (16-XX) 136 Nonassociative rings and algebras (17-XX) 41 Commutative algebra (13-XX) 31 Algebraic geometry (14-XX) 11 Functional analysis (46-XX) 11 Operator theory (47-XX) 11 Quantum theory (81-XX) 8 Group theory and generalizations (20-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Combinatorics (05-XX) 7 Field theory and polynomials (12-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 4 Mathematical logic and foundations (03-XX) 4 \(K\)-theory (19-XX) 3 Category theory; homological algebra (18-XX) 3 Integral equations (45-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Differential geometry (53-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) Citations by Year