Edit Profile (opens in new tab) Drensky, Vesselin Compute Distance To: Compute Author ID: drensky.vesselin Published as: Drensky, Vesselin; Drensky, V. S.; Drensky, V.; Drensky, Vesselin S.; Drenski, V. S.; Drensky, Veselin S.; Drenski, Vesselin S.; Drenski, V. External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 172 Publications since 1974, including 2 Books 2 Contributions as Editor Reviewing Activity: 875 Reviews Co-Authors: 68 Co-Authors with 119 Joint Publications 1,423 Co-Co-Authors all top 5 Co-Authors 55 single-authored 19 Yu, Jie-Tai 8 Benanti, Francesca Saviella 8 Fındık, Şehmus 7 Domokos, Mátyás 6 Genov, Georgi K. 6 Koshlukov, Plamen Emilov 5 Di Vincenzo, Onofrio Mario 5 Koev, Plamen 4 Bahturin, Yuri 4 Giambruno, Antonio 4 Gupta, Chander Kanta 4 Piacentini Cattaneo, Giulia Maria 3 Boumova, Silvia 3 Kasparian, Azniv Kirkor 3 Makar-Limanov, Leonid G. 3 Nardozza, Vincenzo C. 3 Papistas, Athanassios I. 3 Rashkova, Tsetska Grigorova 3 Sadikova, Liliya 2 Aslaksen, Helmer 2 Bryant, Roger M. 2 Carini, Luisa 2 Dangovski, Rumen 2 Edelman, Alan Stuart 2 Holtkamp, Ralf 2 Kan, Raymond 2 La Scala, Roberto 2 Szigeti, Jenó 2 Tsiganchev, Dimitar 2 van Wyk, Leon 2 Vladimirova, Lyubov A. 2 Zaĭtsev, Mikhail Vladimirovich 1 Artamonov, Vyacheslav Aleksandrovich 1 Asparouhov, Tihomir 1 Bell, Jason P. 1 Brešar, Matej 1 Chan, Cy P. 1 Demmel, James Weldon 1 Ershov, Yuriĭ Leonidovich 1 Formanek, Edward W. 1 Genoar, Tierney 1 Gerritzen, Lothar 1 Gutierrez, Jaime 1 Hammoudi, Lakhdar 1 Hristova, Elitza 1 Kal’menov, Tynysbek Sharipovich 1 Kochetov, Mikhail Viktorovich 1 Kostadinov, Boyan 1 Lakatos, Piroska 1 Machado, Gustavo Grings 1 Mikhalëv, Aleksandr Vasil’evich 1 Mikhalëv, Aleksandr Aleksandrovich 1 Öüşlü, Nazar Şahn 1 Popov, Angel P. 1 Racine, Michel L. 1 Regev, Amitai 1 Remeslennikov, Vladimir Nikanorovich 1 Roman’kov, Vitaly Anatol’evich 1 Romanovskii, N. S. 1 Sehgal, Sudarshan Kumar 1 Sharifi, Yaghoub 1 Shestakov, Ivan Pavlovich 1 Shpilrain, Vladimir 1 Stefanov, Dimitre 1 Valenti, Angela 1 van den Essen, Arno 1 Zel’manov, Efim Isaakovich 1 Zhakhayev, Bekzat K. all top 5 Serials 21 Journal of Algebra 18 Communications in Algebra 15 Doklady Bolgarskoĭ Akademii Nauk 8 International Journal of Algebra and Computation 8 Serdica 6 Journal of Algebra and its Applications 4 Journal of Pure and Applied Algebra 4 Proceedings of the American Mathematical Society 4 PLISKA. Studia Mathematica Bulgarica 4 Linear Algebra and its Applications 3 Israel Journal of Mathematics 3 Linear and Multilinear Algebra 3 Algebra and Logic 3 Canadian Journal of Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Serdica Mathematical Journal 2 Algebra i Logika 2 Transactions of the American Mathematical Society 2 Algebra Colloquium 2 Algebra and Discrete Mathematics 2 Mediterranean Journal of Mathematics 2 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika 1 Bulletin of the Australian Mathematical Society 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Canadian Mathematical Bulletin 1 The Journal of the Indian Mathematical Society. New Series 1 Journal of Soviet Mathematics 1 Manuscripta Mathematica 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Publicationes Mathematicae 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Advances in Applied Mathematics 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Mathematica Balkanica. New Series 1 Mathematica Pannonica 1 Mathematics of the USSR, Sbornik 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Journal of Algebraic Combinatorics 1 Trudy Seminara Imeni I. G. Petrovskogo 1 Journal of Lie Theory 1 Transformation Groups 1 Algebras and Representation Theory 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Journal of the European Mathematical Society (JEMS) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Matematicheskiĭ Zhurnal 1 Lecture Notes in Pure and Applied Mathematics 1 Frontiers of Mathematics in China 1 Random Matrices: Theory and Applications 1 Communications in Mathematics 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 130 Associative rings and algebras (16-XX) 80 Nonassociative rings and algebras (17-XX) 34 Commutative algebra (13-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 29 Group theory and generalizations (20-XX) 20 Combinatorics (05-XX) 15 Algebraic geometry (14-XX) 11 General algebraic systems (08-XX) 3 Special functions (33-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 138 Publications have been cited 1,089 times in 614 Documents Cited by ▼ Year ▼ Free algebras and PI-algebras. Graduate course in algebra. Zbl 0936.16001Drensky, Vesselin 185 2000 Cocharacters, codimensions and Hilbert series of the polynomial identities for \(2\times 2\) matrices with involution. Zbl 0814.16021Drensky, Vesselin; Giambruno, Antonio 62 1994 Codimensions of T-ideals and Hilbert series of relatively free algebras. Zbl 0552.16006Drensky, Vesselin 60 1984 Graded polynomial identities of matrices. Zbl 1019.16011Bahturin, Yuri; Drensky, Vesselin 57 2002 Polynomial identity rings. Zbl 1077.16025Drensky, Vesselin; Formanek, Edward 49 2004 Relations for the cocharacter sequences of \(T\)-ideals. Zbl 0766.16012Drensky, Vesselin 28 1992 Tame and wild coordinates of \(K[z][x,y]\). Zbl 0965.13008Drensky, Vesselin; Yu, Jie-Tai 20 2001 A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0. Zbl 0496.16017Drensky, V. S. 18 1982 Exact asymptotic behaviour of the codimensions of some P.I. algebras. Zbl 0884.16014Drensky, Vesselin; Regev, Amitai 17 1996 Representations of the symmetric group and varieties of linear algebras. Zbl 0465.17007Drenski, V. S. 16 1981 Polynomial identities for the Jordan algebra of a symmetric bilinear form. Zbl 0629.17011Drensky, Vesselin 15 1987 Gelfand-Kirillov dimension of PI-algebras. Zbl 0948.16015Drensky, Vesselin 13 1998 Automorphisms of free nilpotent Lie algebras. Zbl 0711.17010Drensky, Vesselin; Gupta, C. K. 13 1990 Extremal varieties of algebras. I. Zbl 0658.16013Drensky, Veselin S. 12 1987 Distinguishing simple Jordan algebras by means of polynomial identities. Zbl 0745.17027Drensky, V. S.; Racine, M. L. 12 1992 Weak polynomial identities for the matrix algebras. Zbl 0799.16017Drensky, Vesselin; Rashkova, Tsetska G. 12 1993 Defining relations for the algebra of invariants of \(2\times 2\) matrices. Zbl 1026.16009Drensky, Vesselin 12 2003 Defining relations of invariants of two \(3\times 3\) matrices. Zbl 1100.16019Aslaksen, Helmer; Drensky, Vesselin; Sadikova, Liliya 12 2006 Fixed algebras of residually nilpotent Lie algebras. Zbl 0801.17020Drensky, Vesselin 12 1994 Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. Zbl 1087.16023Drensky, Vesselin; Gupta, C. K. 11 2005 Generators of invariants of two \(4\times 4\) matrices. Zbl 1104.16018Drensky, V.; Sadikova, L. 11 2006 Extremal varieties of algebras. II. Zbl 0661.16012Drensky, Vesselin S. 10 1988 Polynomial identities of eighth degree for \(3\times 3\) matrices. Zbl 0736.16012Drensky, Vesselin; Kasparian, Azniv 10 1988 Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices. Zbl 1027.16013Drensky, Vesselin; Genov, Georgi K. 10 2003 Codimensions of T-ideals and Hilbert series of relatively free algebras. Zbl 0496.16018Drensky, V. S. 9 1981 Subvarieties of the varieties generated by the superalgebra \(M_{1,1}(E)\) or \(M_2({\mathcal K})\). Zbl 1039.16022Di Vincenzo, O. M.; Drensky, V.; Nardozza, V. 9 2003 Varieties of metabelian Leibniz algebras. Zbl 1025.17001Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 9 2002 Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019Bahturin, Yu. A.; Drensky, V. 9 2003 Obstructions to lifting automorphisms of free algebras. Zbl 0797.16032Bryant, Roger M.; Drensky, Vesselin 9 1993 Dense subgroups of the automorphism groups of free algebras. Zbl 0999.17502Bryant, Roger M.; Drensky, Vesselin 9 1993 On identities in Lie algebras. Zbl 0306.17002Drensky, V. S. 8 1975 A new central polynomial for 3\(\times 3\) matrices. Zbl 0556.16007Drensky, Vesselin; Kasparian, Azniv 8 1985 A Hilbert-Nagata theorem in noncommutative invariant theory. Zbl 0916.16019Domokos, Mátyás; Drensky, Vesselin 8 1998 Identities of representations of nilpotent Lie algebras. Zbl 0879.17001Drensky, Vesselin 8 1997 Weak polynomial identities for a vector space with a symmetric bilinear form. Zbl 0658.16012Drensky, V. S.; Koshlukov, P. E. 7 1987 T-ideals containing all matrix polynomial identities. Zbl 0578.16005Drensky, Vesselin 7 1985 On the Hilbert series of relatively free algebras. Zbl 0549.16009Drensky, Vesselin 7 1984 Automorphisms of relatively free algebras. Zbl 0726.16019Drensky, Vesselin 7 1990 Computing with rational symmetric functions and applications to invariant theory and PI-algebras. Zbl 1374.13009Benanti, Francesca; Boumova, Silvia; Drensky, Vesselin; Genov, Georgi K.; Koev, Plamen 7 2012 The strong Anick conjecture is true. Zbl 1161.16019Drensky, Vesselin; Yu, Jie-Tai 7 2007 Multiplicities of Schur functions with applications to invariant theory and PI-algebras. Zbl 1056.05141Drensky, V.; Genov, G. K. 7 2004 A central polynomial of low degree for \(4\times 4\) matrices. Zbl 0834.16020Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 7 1994 Weitzenböck derivations of free metabelian Lie algebras. Zbl 1305.17007Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus 6 2013 Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub 6 2013 The conjecture of Nowicki on Weitzenböck derivations of polynomial algebras. Zbl 1198.13024Drensky, Vesselin; Makar-Limanov, Leonid 6 2009 Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras. Zbl 1069.16020Drensky, Vesselin; Hammoudi, Lakhdar 6 2004 On the \(*\)-polynomial identities of minimal degree for matrices with involution. Zbl 0862.16015Drensky, Vesselin; Giambruno, Antonio 6 1995 Orbits in free algebras of rank two. Zbl 0899.16016Drensky, Vesselin; Yu, Jie-Tai 6 1998 Identities of representations of Lie algebras and *-polynomial identities. Zbl 0919.16019Rashkova, Tsetska; Drensky, Vesselin 6 1999 Gröbner bases of ideals invariant under endomorphisms. Zbl 1125.16012Drensky, Vesselin; La Scala, Roberto 6 2006 Polynomial identities for 2\(\times 2\) matrices. Zbl 0717.16021Drensky, Vesselin 6 1990 New stably tame automorphisms of polynomial algebras. Zbl 0954.16023Drensky, Vesselin; van den Essen, Arno; Stefanov, Dimitre 5 2000 Representations of the symmetric group and varieties of linear algebras. Zbl 0487.17008Drenski, V. S. 5 1982 Nonassociative exponential and logarithm. Zbl 1077.17003Drensky, Vesselin; Gerritzen, Lothar 5 2004 Test polynomials for automorphisms of polynomial and free associative algebras. Zbl 0967.16020Drensky, Vesselin; Yu, Jie-Tai 5 1998 New automorphisms of generic matrix algebras and polynomial algebras. Zbl 0884.16016Drensky, Vesselin; Gupta, C. K. 5 1997 Planar trees, free nonassociative algebras, invariants, and elliptic integrals. Zbl 1164.17009Drensky, Vesselin; Holtkamp, Ralf 5 2008 Automorphisms of polynomial algebras and Dirichlet series. Zbl 1157.13015Drensky, Vesselin; Yu, Jie-Tai 5 2009 Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. Zbl 1153.16016Benanti, Francesca; Drensky, Vesselin 5 2008 Noetherianity and Specht problem for varieties of bicommutative algebras. Zbl 1407.17003Drensky, Vesselin; Zhakhayev, Bekzat K. 4 2018 Explicit codimension formulas of certain T-ideals. Zbl 0676.16015Drensky, V. S. 4 1988 Defining relation for semi-invariants of three by three matrix triples. Zbl 1260.13010Domokos, Mátyás; Drensky, Vesselin 4 2012 Cocharacters of polynomial identities of upper triangular matrices. Zbl 1248.16020Boumova, Silvia; Drensky, Vesselin 4 2012 Automorphisms and coordinates of polynomial algebras. Zbl 0998.14026Drensky, Vesselin; Yu, Jie-Tai 4 2000 Polynomial identities for Jordan algebras of degree two. Zbl 0729.17020Drensky, Vesselin; Koshlukov, Plamen 4 1990 Gröbner bases for the rings of special orthogonal and \(2\times 2\) matrix invariants. Zbl 1031.16016Domokos, M.; Drensky, V. 4 2001 New central polynomials for the matrix algebra. Zbl 0841.16027Drensky, V. 4 1995 Algebras satisfying the polynomial identity \([x_1,x_2][x_3,x_4,x_5]=0\). Zbl 1060.16025Di Vincenzo, Onofrio M.; Drensky, Vesselin; Nardozza, Vincenzo 4 2004 The basis of the graded polynomial identities for superalgebras of triangular matrices. Zbl 0851.16022Di Vincenzo, Onofrio M.; Drensky, Vesselin 4 1996 Identities in matrix Lie algebras. Zbl 0465.17008Drenski, V. S. 4 1981 Gröbner bases and the Nagata automorphism. Zbl 0932.13013Drensky, Vesselin; Gutierrez, Jaime; Yu, Jie-Tai 4 1999 Automorphisms fixing a variable of \(K\langle x,y,z\rangle\). Zbl 1086.16019Drensky, Vesselin; Yu, Jie-Tai 4 2005 The strong Anick conjecture. Zbl 1161.16020Drensky, Vesselin; Yu, Jie-Tai 4 2006 Rationality of Hilbert series in noncommutative invariant theory. Zbl 1405.16032Domokos, Mátyás; Drensky, Vesselin 3 2017 Multiplicities in the trace cocharacter sequence of two \(4\times 4\) matrices. Zbl 1119.16023Drensky, Vesselin; Genov, Georgi K. 3 2005 Inner and outer automorphisms of free metabelian nilpotent Lie algebras. Zbl 1317.17006Drensky, Vesselin; Fındık, Şehmus 3 2012 On identities of Lie algebras. Zbl 0298.17011Drensky, V. S. 3 1974 Generic \(2\times 2\) matrices in positive characteristic. Zbl 0947.16012Asparouhov, Tihomir; Drensky, Vesselin; Koev, Plamen; Tsiganchev, Dimitar 3 2000 Polynomial identities in simple Jordan algebras. Zbl 0513.17007Drensky, V. S. 3 1982 On lattices of varieties of associative algebras. Zbl 0514.16009Drensky, Veselin S. 3 1982 Defining relations of low degree of invariants of two \(4\times 4\) matrices. Zbl 1181.16021Drensky, Vesselin; La Scala, Roberto 3 2009 Retracts and test polynomials of polynomial algebras. Zbl 1017.13010Drensky, V.; Yu, Jie-Tai 3 2002 Automorphisms of free left nilpotent Leibniz algebras and fixed points. Zbl 1113.17002Drensky, V.; Papistas, A. I. 3 2005 Constants of formal derivatives of non-associative algebras, Taylor expansions and applications. Zbl 1117.17002Drensky, Vesselin; Holtkamp, Ralf 3 2006 Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices. Zbl 1110.16022Drensky, Vesselin; Genov, Georgi K.; Valenti, Angela 3 2006 Finite generation of invariants of finite linear groups on relatively free algebras. Zbl 0798.16022Drensky, Vesselin 3 1993 Varieties of metabelian Jordan algebras. Zbl 0715.17029Drensky, Vesselin S.; Rashkova, Tsetska G. 3 1989 Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. Zbl 1142.16009Benanti, F.; Drensky, V. 3 2007 Computing with matrix invariants. Zbl 1161.16018Drensky, Vesselin 3 2007 Invariants of unipotent transformations acting on Noetherian relatively free algebras. Zbl 1066.16022Drensky, Vesselin 3 2004 Endomorphisms and automorphisms of relatively free algebras. Zbl 0822.16022Drensky, Vesselin 3 1993 Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014Bakhturin, Yu. A.; Drensky, V. S. 2 1987 Monomial ideals, group algebras and error correcting codes. Zbl 0679.16006Drensky, Vesselin; Lakatos, Piroska 2 1989 Über Identitäten in Lieschen Algebren. Zbl 0327.17003Drenski, V. S. 2 1974 Wild automorphisms of nilpotent-by-abelian Lie algebras. Zbl 0851.17008Drensky, Vesselin 2 1992 The Hilbert series of the polynomial identities for the tensor square of the Grassmann algebra. Zbl 0793.16013Carini, Luisa; Drensky, Vesselin 2 1991 Torsion in the additive group of relatively free Lie rings. Zbl 0573.17013Drensky, Vesselin 2 1986 Identities in matrix Lie algebras. Zbl 0586.17010Drensky, V. S. 2 1986 Varieties of pairs of algebras with a distributive lattice of subvarieties. Zbl 0608.16023Drenski, Vesselin S.; Vladimirova, Lyubov A. 2 1986 Polynomial identities of finite dimensional algebras. Zbl 0621.16019Drensky, Vesselin S. 2 1986 Constructive noncommmutative invariant theory. Zbl 07371499Domokos, Mátyás; Drensky, Vesselin 1 2021 Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices. Zbl 1459.16023Domokos, Mátyás; Drensky, Vesselin 1 2020 The Nowicki conjecture for free metabelian Lie algebras. Zbl 07217962Drensky, Vesselin; Fındık, Şehmus 1 2020 Symmetric polynomials in the free metabelian Lie algebras. Zbl 1475.17010Drensky, Vesselin; Fındık, Şehmus; Öüşlü, Nazar Şahn 1 2020 Locally nilpotent derivations of free algebra of rank two. Zbl 1481.16027Drensky, Vesselin; Makar-Limanov, Leonid 2 2019 Classical invariant theory for free metabelian Lie algebras. Zbl 1436.17018Drensky, Vesselin; Findik, Sehmus 1 2019 On computing Schur functions and series thereof. Zbl 1428.05309Chan, Cy; Drensky, Vesselin; Edelman, Alan; Kan, Raymond; Koev, Plamen 1 2019 Noetherianity and Specht problem for varieties of bicommutative algebras. Zbl 1407.17003Drensky, Vesselin; Zhakhayev, Bekzat K. 4 2018 Rationality of Hilbert series in noncommutative invariant theory. Zbl 1405.16032Domokos, Mátyás; Drensky, Vesselin 3 2017 Weitzenböck derivations of free metabelian associative algebras. Zbl 1387.16039Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus 1 2017 Noether bound for invariants in relatively free algebras. Zbl 1348.16017Domokos, Mátyás; Drensky, Vesselin 1 2016 GK-dimension of \(2\times 2\) generic Lie matrices. Zbl 1389.16037Drensky, Vesselin; Koshlukov, Plamen; Machado, Gustavo Grings 1 2016 Weitzenböck derivations of free metabelian Lie algebras. Zbl 1305.17007Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus 6 2013 Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub 6 2013 Central polynomials for matrices over finite fields. Zbl 1282.16024Brešar, Matej; Drensky, Vesselin 1 2013 Algebraic properties of codimension series of PI-algebras. Zbl 1301.16024Boumova, Silvia; Drensky, Vesselin 1 2013 Computing with rational symmetric functions and applications to invariant theory and PI-algebras. Zbl 1374.13009Benanti, Francesca; Boumova, Silvia; Drensky, Vesselin; Genov, Georgi K.; Koev, Plamen 7 2012 Defining relation for semi-invariants of three by three matrix triples. Zbl 1260.13010Domokos, Mátyás; Drensky, Vesselin 4 2012 Cocharacters of polynomial identities of upper triangular matrices. Zbl 1248.16020Boumova, Silvia; Drensky, Vesselin 4 2012 Inner and outer automorphisms of free metabelian nilpotent Lie algebras. Zbl 1317.17006Drensky, Vesselin; Fındık, Şehmus 3 2012 Inner automorphisms of Lie algebras related with generic \(2 \times 2\) matrices. Zbl 1330.17022Drensky, Vesselin; Fındık, Şehmus 1 2012 The conjecture of Nowicki on Weitzenböck derivations of polynomial algebras. Zbl 1198.13024Drensky, Vesselin; Makar-Limanov, Leonid 6 2009 Automorphisms of polynomial algebras and Dirichlet series. Zbl 1157.13015Drensky, Vesselin; Yu, Jie-Tai 5 2009 Defining relations of low degree of invariants of two \(4\times 4\) matrices. Zbl 1181.16021Drensky, Vesselin; La Scala, Roberto 3 2009 Degree estimate for commutators. Zbl 1187.16024Drensky, Vesselin; Yu, Jie-Tai 1 2009 Planar trees, free nonassociative algebras, invariants, and elliptic integrals. Zbl 1164.17009Drensky, Vesselin; Holtkamp, Ralf 5 2008 Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. Zbl 1153.16016Benanti, Francesca; Drensky, Vesselin 5 2008 A cancellation conjecture for free associative algebras. Zbl 1153.16022Drensky, Vesselin; Yu, Jie-Tai 2 2008 The strong Anick conjecture is true. Zbl 1161.16019Drensky, Vesselin; Yu, Jie-Tai 7 2007 Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. Zbl 1142.16009Benanti, F.; Drensky, V. 3 2007 Computing with matrix invariants. Zbl 1161.16018Drensky, Vesselin 3 2007 Coordinates and automorphisms of polynomial and free associative algebras of rank three. Zbl 1206.16015Drensky, Vesselin; Yu, Jie-Tai 1 2007 Automorphic equivalence problem for free associative algebras of rank two. Zbl 1149.16021Drensky, Vesselin; Yu, Jie-Tai 1 2007 Tame automorphisms fixing a variable of free associative algebras of rank three. Zbl 1168.16011Drensky, Vesselin; Yu, Jie-Tai 1 2007 Defining relations of invariants of two \(3\times 3\) matrices. Zbl 1100.16019Aslaksen, Helmer; Drensky, Vesselin; Sadikova, Liliya 12 2006 Generators of invariants of two \(4\times 4\) matrices. Zbl 1104.16018Drensky, V.; Sadikova, L. 11 2006 Gröbner bases of ideals invariant under endomorphisms. Zbl 1125.16012Drensky, Vesselin; La Scala, Roberto 6 2006 The strong Anick conjecture. Zbl 1161.16020Drensky, Vesselin; Yu, Jie-Tai 4 2006 Constants of formal derivatives of non-associative algebras, Taylor expansions and applications. Zbl 1117.17002Drensky, Vesselin; Holtkamp, Ralf 3 2006 Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices. Zbl 1110.16022Drensky, Vesselin; Genov, Georgi K.; Valenti, Angela 3 2006 Defining relations of the noncommutative trace algebra of two \(3\times 3\) matrices. Zbl 1123.16014Benanti, Francesca; Drensky, Vesselin 1 2006 Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. Zbl 1087.16023Drensky, Vesselin; Gupta, C. K. 11 2005 Automorphisms fixing a variable of \(K\langle x,y,z\rangle\). Zbl 1086.16019Drensky, Vesselin; Yu, Jie-Tai 4 2005 Multiplicities in the trace cocharacter sequence of two \(4\times 4\) matrices. Zbl 1119.16023Drensky, Vesselin; Genov, Georgi K. 3 2005 Automorphisms of free left nilpotent Leibniz algebras and fixed points. Zbl 1113.17002Drensky, V.; Papistas, A. I. 3 2005 Defining relations of invariants of two \(3\times 3\) matrices. Zbl 1076.16019Aslaksen, H.; Drensky, V.; Sadikova, L. 2 2005 Polynomial identity rings. Zbl 1077.16025Drensky, Vesselin; Formanek, Edward 49 2004 Multiplicities of Schur functions with applications to invariant theory and PI-algebras. Zbl 1056.05141Drensky, V.; Genov, G. K. 7 2004 Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras. Zbl 1069.16020Drensky, Vesselin; Hammoudi, Lakhdar 6 2004 Nonassociative exponential and logarithm. Zbl 1077.17003Drensky, Vesselin; Gerritzen, Lothar 5 2004 Algebras satisfying the polynomial identity \([x_1,x_2][x_3,x_4,x_5]=0\). Zbl 1060.16025Di Vincenzo, Onofrio M.; Drensky, Vesselin; Nardozza, Vincenzo 4 2004 Invariants of unipotent transformations acting on Noetherian relatively free algebras. Zbl 1066.16022Drensky, Vesselin 3 2004 Defining relations for the algebra of invariants of \(2\times 2\) matrices. Zbl 1026.16009Drensky, Vesselin 12 2003 Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices. Zbl 1027.16013Drensky, Vesselin; Genov, Georgi K. 10 2003 Subvarieties of the varieties generated by the superalgebra \(M_{1,1}(E)\) or \(M_2({\mathcal K})\). Zbl 1039.16022Di Vincenzo, O. M.; Drensky, V.; Nardozza, V. 9 2003 Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019Bahturin, Yu. A.; Drensky, V. 9 2003 Primitive elements of free metabelian algebras of rank two. Zbl 1056.16021Drensky, Vesselin; Yu, Jie-Tai 2 2003 Computational approach to polynomial identities of matrices – a survey. Zbl 1067.16041Benanti, Francesca; Demmel, James; Drensky, Vesselin; Koev, Plamen 1 2003 Graded polynomial identities of matrices. Zbl 1019.16011Bahturin, Yuri; Drensky, Vesselin 57 2002 Varieties of metabelian Leibniz algebras. Zbl 1025.17001Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 9 2002 Retracts and test polynomials of polynomial algebras. Zbl 1017.13010Drensky, V.; Yu, Jie-Tai 3 2002 Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices. Zbl 1008.16023Drensky, V.; Genov, G. K. 1 2002 Tame and wild coordinates of \(K[z][x,y]\). Zbl 0965.13008Drensky, Vesselin; Yu, Jie-Tai 20 2001 Gröbner bases for the rings of special orthogonal and \(2\times 2\) matrix invariants. Zbl 1031.16016Domokos, M.; Drensky, V. 4 2001 Free algebras and PI-algebras. Graduate course in algebra. Zbl 0936.16001Drensky, Vesselin 185 2000 New stably tame automorphisms of polynomial algebras. Zbl 0954.16023Drensky, Vesselin; van den Essen, Arno; Stefanov, Dimitre 5 2000 Automorphisms and coordinates of polynomial algebras. Zbl 0998.14026Drensky, Vesselin; Yu, Jie-Tai 4 2000 Generic \(2\times 2\) matrices in positive characteristic. Zbl 0947.16012Asparouhov, Tihomir; Drensky, Vesselin; Koev, Plamen; Tsiganchev, Dimitar 3 2000 Lie automorphisms of the algebra of two generic \(2\times 2\) matrices. Zbl 0961.16012Drensky, Vesselin; Gupta, C. K. 2 2000 On the density of the set of generators of a polynomial algebra. Zbl 0957.13017Drensky, Vesselin; Shpilrain, Vladimir; Yu, Jie-Tai 1 2000 Identities of representations of Lie algebras and *-polynomial identities. Zbl 0919.16019Rashkova, Tsetska; Drensky, Vesselin 6 1999 Gröbner bases and the Nagata automorphism. Zbl 0932.13013Drensky, Vesselin; Gutierrez, Jaime; Yu, Jie-Tai 4 1999 Gelfand-Kirillov dimension of PI-algebras. Zbl 0948.16015Drensky, Vesselin 13 1998 A Hilbert-Nagata theorem in noncommutative invariant theory. Zbl 0916.16019Domokos, Mátyás; Drensky, Vesselin 8 1998 Orbits in free algebras of rank two. Zbl 0899.16016Drensky, Vesselin; Yu, Jie-Tai 6 1998 Test polynomials for automorphisms of polynomial and free associative algebras. Zbl 0967.16020Drensky, Vesselin; Yu, Jie-Tai 5 1998 Exponential automorphisms of polynomial algebras. Zbl 0980.16026Drensky, Vesselin; Yu, Jie-Tai 2 1998 On the consequences of the standard polynomial. Zbl 0919.16016Benanti, Francesca; Drensky, Vesselin 2 1998 New polynomial identities for \(2\times 2\) generic matrices in characteristic \(2\). Zbl 0935.16010Drensky, Vesselin; Tsiganchev, Dimitar 1 1998 Automorphisms of polynomial, free and generic matrix algebras. Zbl 0891.16024Drensky, Vesselin 1 1998 Identities of representations of nilpotent Lie algebras. Zbl 0879.17001Drensky, Vesselin 8 1997 New automorphisms of generic matrix algebras and polynomial algebras. Zbl 0884.16016Drensky, Vesselin; Gupta, C. K. 5 1997 Exact asymptotic behaviour of the codimensions of some P.I. algebras. Zbl 0884.16014Drensky, Vesselin; Regev, Amitai 17 1996 The basis of the graded polynomial identities for superalgebras of triangular matrices. Zbl 0851.16022Di Vincenzo, Onofrio M.; Drensky, Vesselin 4 1996 On the \(*\)-polynomial identities of minimal degree for matrices with involution. Zbl 0862.16015Drensky, Vesselin; Giambruno, Antonio 6 1995 New central polynomials for the matrix algebra. Zbl 0841.16027Drensky, V. 4 1995 Cocharacters, codimensions and Hilbert series of the polynomial identities for \(2\times 2\) matrices with involution. Zbl 0814.16021Drensky, Vesselin; Giambruno, Antonio 62 1994 Fixed algebras of residually nilpotent Lie algebras. Zbl 0801.17020Drensky, Vesselin 12 1994 A central polynomial of low degree for \(4\times 4\) matrices. Zbl 0834.16020Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 7 1994 Plethysms for representations of Lie superalgebras with applications to PI algebras. Zbl 0823.17006Carini, Luisa; Drensky, Vesselin 1 1994 Weak polynomial identities for the matrix algebras. Zbl 0799.16017Drensky, Vesselin; Rashkova, Tsetska G. 12 1993 Obstructions to lifting automorphisms of free algebras. Zbl 0797.16032Bryant, Roger M.; Drensky, Vesselin 9 1993 Dense subgroups of the automorphism groups of free algebras. Zbl 0999.17502Bryant, Roger M.; Drensky, Vesselin 9 1993 Finite generation of invariants of finite linear groups on relatively free algebras. Zbl 0798.16022Drensky, Vesselin 3 1993 Endomorphisms and automorphisms of relatively free algebras. Zbl 0822.16022Drensky, Vesselin 3 1993 Polynomial identities for tensor products of Grassmann algebras. Zbl 0810.16024Di Vincenzo, Onofrio M.; Drensky, Vesselin 2 1993 Relations for the cocharacter sequences of \(T\)-ideals. Zbl 0766.16012Drensky, Vesselin 28 1992 Distinguishing simple Jordan algebras by means of polynomial identities. Zbl 0745.17027Drensky, V. S.; Racine, M. L. 12 1992 Wild automorphisms of nilpotent-by-abelian Lie algebras. Zbl 0851.17008Drensky, Vesselin 2 1992 Tame primitivity for free nilpotent algebras. Zbl 0759.16010Drensky, Vesselin 1 1992 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 367 Authors 79 Drensky, Vesselin 47 Giambruno, Antonio 42 Zaĭtsev, Mikhail Vladimirovich 37 Koshlukov, Plamen Emilov 23 Yu, Jie-Tai 20 Di Vincenzo, Onofrio Mario 20 La Mattina, Daniela 19 Mishchenko, Sergeĭ Petrovich 18 Centrone, Lucio 17 Gordienko, Alekseĭ Sergeevich 14 Domokos, Mátyás 14 Shestakov, Ivan Pavlovich 14 Vieira, Ana Cristina 13 Bahturin, Yuri 13 Kanel’-Belov, Alekseĭ Yakovlevich 13 Petrogradsky, Victor Mikhaylovich 13 Repovš, Dušan D. 12 Ioppolo, Antonio 11 Berele, Allan 11 Gonçalves, Dimas José 11 Martino, Fabrizio 11 Nardozza, Vincenzo C. 11 Valenti, Angela 10 Diniz Pereira da Silva e Silva, Diogo 10 Fındık, Şehmus 10 Ratseev, Sergej Mikhaijlovich 10 Regev, Amitai 9 Dos Santos, Rafael Bezerra 9 Krasilnikov, Alexei N. 9 La Scala, Roberto 9 Rowen, Louis Halle 8 Benanti, Francesca Saviella 7 Aljadeff, Eli 7 Fidelis, Claudemir 7 Lawton, Sean 7 Lopatin, Artem A. 7 Mai Hoang Bien 7 Vishne, Uzi 6 Castilho de Mello, Thiago 6 Rashkova, Tsetska Grigorova 6 Ribeiro Tomaz da Silva, Viviane 6 Szigeti, Jenó 6 van Wyk, Leon 5 Bui Xuan Hai 5 Papistas, Athanassios I. 5 Rizzo, Carla 5 Sviridova, Irina 5 Umirbaev, Ualbaĭ Utmakhanbetovich 5 Yasumura, Felipe Yukihide 4 Berson, Joost 4 Bokut, Leonid A. 4 Carini, Luisa 4 Chen, Yuqun 4 Haile, Darrell E. 4 Kofinas, Constantinos E. 4 Racine, Michel L. 4 Souza, Manuela da Silva 4 van den Essen, Arno 3 Azevedo, Sergio S. 3 Bekh-Ochir, Chuluun 3 Boumova, Silvia 3 Brandão, Antônio Pereira jun. 3 Cherevatenko, Ol’ga Ivanovna 3 Cirrito, Alessio 3 Deryabina, Galina 3 Đoković, Dragomir Ž. 3 do Nascimento, Thais Silva 3 Ekici, Naime 3 Fidelis, Marcello 3 Gonçalves Fonseca, Luís Felipe 3 Gong, Sheng-Jun 3 Gongopadhyay, Krishnendu 3 Gupta, Chander Kanta 3 Kireeva, E. A. 3 Kislitsin, Alekseĭ Vladimirovich 3 Mikhalëv, Aleksandr Aleksandrovich 3 Misso, Paola 3 Natapov, Michael 3 Özkurt, Zeynep 3 Rankin, Stuart A. 3 Schützer, Waldeck 3 Shpilrain, Vladimir 3 Shulezhko, Olesya Vladimirovna 3 Talpo, Humberto Luiz 2 Aaghabali, Mehdi 2 Aladova, Elena V. 2 Alves Jorge, Sandra Mara 2 Aqué, Stefania 2 Aslaksen, Helmer 2 Bedratyuk, Leonid 2 Bessades, D. C. L. 2 Blachar, Guy 2 Bremner, Murray R. 2 Colombo, Jones 2 da Silva Macedo, David Levi 2 Dale Hill, Jordan 2 D’Amour, Alain 2 Dangovski, Rumen 2 Dzhumadil’daev, Askar Serkulovich 2 Edo, Eric ...and 267 more Authors all top 5 Cited in 92 Serials 123 Journal of Algebra 65 Communications in Algebra 39 Journal of Pure and Applied Algebra 36 Linear Algebra and its Applications 31 International Journal of Algebra and Computation 27 Israel Journal of Mathematics 20 Transactions of the American Mathematical Society 18 Linear and Multilinear Algebra 16 Proceedings of the American Mathematical Society 15 Algebras and Representation Theory 14 Journal of Mathematical Sciences (New York) 14 Journal of Algebra and its Applications 11 Rendiconti del Circolo Matemàtico di Palermo. 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Mathematics & Physics 1 Electronic Research Archive all top 5 Cited in 33 Fields 455 Associative rings and algebras (16-XX) 213 Nonassociative rings and algebras (17-XX) 112 Linear and multilinear algebra; matrix theory (15-XX) 105 Group theory and generalizations (20-XX) 77 Commutative algebra (13-XX) 60 Algebraic geometry (14-XX) 48 Combinatorics (05-XX) 20 General algebraic systems (08-XX) 15 Computer science (68-XX) 6 Mathematical logic and foundations (03-XX) 6 Category theory; homological algebra (18-XX) 5 Topological groups, Lie groups (22-XX) 3 Number theory (11-XX) 3 Field theory and polynomials (12-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 2 History and biography (01-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 \(K\)-theory (19-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year