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. more...less External Links: MGP · ResearchGate · Math-Net.Ru Documents Indexed: 175 Publications since 1974, including 2 Books 2 Contributions as Editor Reviewing Activity: 890 Reviews Co-Authors: 70 Co-Authors with 121 Joint Publications 1,496 Co-Co-Authors all top 5 Co-Authors 56 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 Boumova, Silvia 4 Giambruno, Antonio 4 Gupta, Chander Kanta 4 Piacentini Cattaneo, Giulia Maria 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 Hristova, Elitza 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 Dzhundrekov, Deyan 1 Ershov, Yuriĭ Leonidovich 1 Formanek, Edward W. 1 Genoar, Tierney 1 Gerritzen, Lothar 1 Gutierrez, Jaime 1 Hammoudi, Lakhdar 1 Kal’menov, Tynysbek Sharipovich 1 Kassabov, Martin 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 Linear and Multilinear Algebra 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 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 Turkish Journal of Mathematics 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 Debrecen 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 132 Associative rings and algebras (16-XX) 80 Nonassociative rings and algebras (17-XX) 37 Commutative algebra (13-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 29 Group theory and generalizations (20-XX) 21 Combinatorics (05-XX) 15 Algebraic geometry (14-XX) 11 General algebraic systems (08-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 2 Numerical analysis (65-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 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 145 Publications have been cited 1,186 times in 658 Documents Cited by ▼ Year ▼ Free algebras and PI-algebras. Graduate course in algebra. Zbl 0936.16001Drensky, Vesselin 200 2000 Cocharacters, codimensions and Hilbert series of the polynomial identities for \(2\times 2\) matrices with involution. Zbl 0814.16021Drensky, Vesselin; Giambruno, Antonio 67 1994 Codimensions of T-ideals and Hilbert series of relatively free algebras. Zbl 0552.16006Drensky, Vesselin 63 1984 Graded polynomial identities of matrices. Zbl 1019.16011Bahturin, Yuri; Drensky, Vesselin 61 2002 Polynomial identity rings. Zbl 1077.16025Drensky, Vesselin; Formanek, Edward 52 2004 Relations for the cocharacter sequences of \(T\)-ideals. Zbl 0766.16012Drensky, Vesselin 29 1992 A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0. Zbl 0496.16017Drensky, V. S. 23 1982 Tame and wild coordinates of \(K[z][x,y]\). Zbl 0965.13008Drensky, Vesselin; Yu, Jie-Tai 20 2001 Polynomial identities for the Jordan algebra of a symmetric bilinear form. Zbl 0629.17011Drensky, Vesselin 18 1987 Representations of the symmetric group and varieties of linear algebras. Zbl 0465.17007Drenski, V. S. 17 1981 Exact asymptotic behaviour of the codimensions of some P.I. algebras. Zbl 0884.16014Drensky, Vesselin; Regev, Amitai 17 1996 Gelfand-Kirillov dimension of PI-algebras. Zbl 0948.16015Drensky, Vesselin 15 1998 Defining relations for the algebra of invariants of \(2\times 2\) matrices. Zbl 1026.16009Drensky, Vesselin 13 2003 Automorphisms of free nilpotent Lie algebras. Zbl 0711.17010Drensky, Vesselin; Gupta, C. K. 13 1990 Fixed algebras of residually nilpotent Lie algebras. Zbl 0801.17020Drensky, Vesselin 13 1994 Extremal varieties of algebras. I. Zbl 0658.16013Drensky, Veselin S. 13 1987 Polynomial identities of eighth degree for \(3\times 3\) matrices. Zbl 0736.16012Drensky, Vesselin; Kasparian, Azniv 12 1988 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 of invariants of two \(3\times 3\) matrices. Zbl 1100.16019Aslaksen, Helmer; Drensky, Vesselin; Sadikova, Liliya 12 2006 Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. Zbl 1087.16023Drensky, Vesselin; Gupta, C. K. 12 2005 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. 11 2003 Varieties of metabelian Leibniz algebras. Zbl 1025.17001Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 11 2002 Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices. Zbl 1027.16013Drensky, Vesselin; Genov, Georgi K. 11 2003 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. 11 1988 Dense subgroups of the automorphism groups of free algebras. Zbl 0999.17502Bryant, Roger M.; Drensky, Vesselin 10 1993 Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019Bahturin, Yu. A.; Drensky, V. 9 2003 Identities of representations of nilpotent Lie algebras. Zbl 0879.17001Drensky, Vesselin 9 1997 Codimensions of T-ideals and Hilbert series of relatively free algebras. Zbl 0496.16018Drensky, V. S. 9 1981 A new central polynomial for 3\(\times 3\) matrices. Zbl 0556.16007Drensky, Vesselin; Kasparian, Azniv 9 1985 Obstructions to lifting automorphisms of free algebras. Zbl 0797.16032Bryant, Roger M.; Drensky, Vesselin 9 1993 A Hilbert-Nagata theorem in noncommutative invariant theory. Zbl 0916.16019Domokos, Mátyás; Drensky, Vesselin 9 1998 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 9 2012 Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub 9 2013 Noetherianity and Specht problem for varieties of bicommutative algebras. Zbl 1407.17003Drensky, Vesselin; Zhakhayev, Bekzat K. 8 2018 A central polynomial of low degree for \(4\times 4\) matrices. Zbl 0834.16020Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 8 1994 On identities in Lie algebras. Zbl 0306.17002Drensky, V. S. 8 1975 The conjecture of Nowicki on Weitzenböck derivations of polynomial algebras. Zbl 1198.13024Drensky, Vesselin; Makar-Limanov, Leonid 7 2009 The strong Anick conjecture is true. Zbl 1161.16019Drensky, Vesselin; Yu, Jie-Tai 7 2007 On the Hilbert series of relatively free algebras. Zbl 0549.16009Drensky, Vesselin 7 1984 T-ideals containing all matrix polynomial identities. Zbl 0578.16005Drensky, Vesselin 7 1985 Automorphisms of relatively free algebras. Zbl 0726.16019Drensky, Vesselin 7 1990 Multiplicities of Schur functions with applications to invariant theory and PI-algebras. Zbl 1056.05141Drensky, V.; Genov, G. K. 7 2004 Weitzenböck derivations of free metabelian Lie algebras. Zbl 1305.17007Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus 7 2013 Weak polynomial identities for a vector space with a symmetric bilinear form. Zbl 0658.16012Drensky, V. S.; Koshlukov, P. E. 7 1987 Representations of the symmetric group and varieties of linear algebras. Zbl 0487.17008Drenski, V. S. 6 1982 Nonassociative exponential and logarithm. Zbl 1077.17003Drensky, Vesselin; Gerritzen, Lothar 6 2004 Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras. Zbl 1069.16020Drensky, Vesselin; Hammoudi, Lakhdar 6 2004 Gröbner bases of ideals invariant under endomorphisms. Zbl 1125.16012Drensky, Vesselin; La Scala, Roberto 6 2006 Orbits in free algebras of rank two. Zbl 0899.16016Drensky, Vesselin; Yu, Jie-Tai 6 1998 Polynomial identities for 2\(\times 2\) matrices. Zbl 0717.16021Drensky, Vesselin 6 1990 On the \(*\)-polynomial identities of minimal degree for matrices with involution. Zbl 0862.16015Drensky, Vesselin; Giambruno, Antonio 6 1995 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 New stably tame automorphisms of polynomial algebras. Zbl 0954.16023Drensky, Vesselin; van den Essen, Arno; Stefanov, Dimitre 5 2000 Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. Zbl 1153.16016Benanti, Francesca; Drensky, Vesselin 5 2008 Automorphisms of polynomial algebras and Dirichlet series. Zbl 1157.13015Drensky, Vesselin; Yu, Jie-Tai 5 2009 Test polynomials for automorphisms of polynomial and free associative algebras. Zbl 0967.16020Drensky, Vesselin; Yu, Jie-Tai 5 1998 Identities of representations of Lie algebras and *-polynomial identities. Zbl 0919.16019Rashkova, Tsetska; Drensky, Vesselin 5 1999 New central polynomials for the matrix algebra. Zbl 0841.16027Drensky, V. 5 1995 Cocharacters of polynomial identities of upper triangular matrices. Zbl 1248.16020Boumova, Silvia; Drensky, Vesselin 5 2012 Gröbner bases for the rings of special orthogonal and \(2\times 2\) matrix invariants. Zbl 1031.16016Domokos, M.; Drensky, V. 4 2001 Identities in matrix Lie algebras. Zbl 0465.17008Drenski, V. S. 4 1981 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 Rationality of Hilbert series in noncommutative invariant theory. Zbl 1405.16032Domokos, Mátyás; Drensky, Vesselin 4 2017 Symmetric polynomials in the free metabelian Lie algebras. Zbl 1475.17010Drensky, Vesselin; Fındık, Şehmus; Öüşlü, Nazar Şahn 4 2020 The strong Anick conjecture. Zbl 1161.16020Drensky, Vesselin; Yu, Jie-Tai 4 2006 Invariants of unipotent transformations acting on Noetherian relatively free algebras. Zbl 1066.16022Drensky, Vesselin 4 2004 Computing with matrix invariants. Zbl 1161.16018Drensky, Vesselin 4 2007 Varieties of metabelian Jordan algebras. Zbl 0715.17029Drensky, Vesselin S.; Rashkova, Tsetska G. 4 1989 Polynomial identities for Jordan algebras of degree two. Zbl 0729.17020Drensky, Vesselin; Koshlukov, Plamen 4 1990 Gröbner bases and the Nagata automorphism. Zbl 0932.13013Drensky, Vesselin; Gutierrez, Jaime; Yu, Jie-Tai 4 1999 Automorphisms and coordinates of polynomial algebras. Zbl 0998.14026Drensky, Vesselin; Yu, Jie-Tai 4 2000 The basis of the graded polynomial identities for superalgebras of triangular matrices. Zbl 0851.16022Di Vincenzo, Onofrio M.; Drensky, Vesselin 4 1996 Automorphisms fixing a variable of \(K\langle x,y,z\rangle\). Zbl 1086.16019Drensky, Vesselin; Yu, Jie-Tai 4 2005 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 On computing Schur functions and series thereof. Zbl 1428.05309Chan, Cy; Drensky, Vesselin; Edelman, Alan; Kan, Raymond; Koev, Plamen 3 2019 Finite generation of invariants of finite linear groups on relatively free algebras. Zbl 0798.16022Drensky, Vesselin 3 1993 Retracts and test polynomials of polynomial algebras. Zbl 1017.13010Drensky, V.; Yu, Jie-Tai 3 2002 Polynomial identities of finite dimensional algebras. Zbl 0621.16019Drensky, Vesselin S. 3 1986 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 Constants of formal derivatives of non-associative algebras, Taylor expansions and applications. Zbl 1117.17002Drensky, Vesselin; Holtkamp, Ralf 3 2006 Generic \(2\times 2\) matrices in positive characteristic. Zbl 0947.16012Asparouhov, Tihomir; Drensky, Vesselin; Koev, Plamen; Tsiganchev, Dimitar 3 2000 Endomorphisms and automorphisms of relatively free algebras. Zbl 0822.16022Drensky, Vesselin 3 1993 On identities of Lie algebras. Zbl 0298.17011Drensky, V. S. 3 1974 Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices. Zbl 1110.16022Drensky, Vesselin; Genov, Georgi K.; Valenti, Angela 3 2006 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 minimal degree of the trace algebra of \(3\times 3\) matrices. Zbl 1142.16009Benanti, F.; Drensky, V. 3 2007 Inner and outer automorphisms of free metabelian nilpotent Lie algebras. Zbl 1317.17006Drensky, Vesselin; Fındık, Şehmus 3 2012 On the identities of the three-dimensional simple Jordan algebra. Zbl 0747.17026Drensky, Vesselin 2 1988 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 Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices. Zbl 1459.16023Domokos, Mátyás; Drensky, Vesselin 2 2020 Locally nilpotent derivations of free algebra of rank two. Zbl 1481.16027Drensky, Vesselin; Makar-Limanov, Leonid 2 2019 Varieties of pairs of algebras with a distributive lattice of subvarieties. Zbl 0608.16023Drenski, Vesselin S.; Vladimirova, Lyubov A. 2 1986 Constructive noncommmutative invariant theory. Zbl 1490.17019Domokos, Mátyás; Drensky, Vesselin 2 2021 Weak polynomial identities and their applications. Zbl 1487.16030Drensky, Vesselin 2 2021 Symmetric polynomials in the free metabelian Lie algebras. Zbl 1475.17010Drensky, Vesselin; Fındık, Şehmus; Öüşlü, Nazar Şahn 4 2020 Cocharacters for the weak polynomial identities of the Lie algebra of \(3 \times 3\) skew-symmetric matrices. Zbl 1459.16023Domokos, Mátyás; Drensky, Vesselin 2 2020 The Nowicki conjecture for free metabelian Lie algebras. Zbl 1485.17019Drensky, Vesselin; Fındık, Şehmus 2 2020 Generalized Nowicki conjecture. Zbl 1451.13073Drensky, Vesselin 1 2020 Another proof of the Nowicki conjecture. Zbl 1457.13048Drensky, Vesselin 1 2020 On computing Schur functions and series thereof. Zbl 1428.05309Chan, Cy; Drensky, Vesselin; Edelman, Alan; Kan, Raymond; Koev, Plamen 3 2019 Locally nilpotent derivations of free algebra of rank two. Zbl 1481.16027Drensky, Vesselin; Makar-Limanov, Leonid 2 2019 Noncommutative invariant theory of symplectic and orthogonal groups. Zbl 1459.05336Drensky, Vesselin; Hristova, Elitza 1 2019 Classical invariant theory for free metabelian Lie algebras. Zbl 1436.17018Drensky, Vesselin; Findik, Sehmus 1 2019 Noetherianity and Specht problem for varieties of bicommutative algebras. Zbl 1407.17003Drensky, Vesselin; Zhakhayev, Bekzat K. 8 2018 Rationality of Hilbert series in noncommutative invariant theory. Zbl 1405.16032Domokos, Mátyás; Drensky, Vesselin 4 2017 Weitzenböck derivations of free metabelian associative algebras. Zbl 1387.16039Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus 2 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 Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub 9 2013 Weitzenböck derivations of free metabelian Lie algebras. Zbl 1305.17007Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus 7 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 9 2012 Cocharacters of polynomial identities of upper triangular matrices. Zbl 1248.16020Boumova, Silvia; Drensky, Vesselin 5 2012 Defining relation for semi-invariants of three by three matrix triples. Zbl 1260.13010Domokos, Mátyás; 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 7 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 Computing with matrix invariants. Zbl 1161.16018Drensky, Vesselin 4 2007 Defining relations of minimal degree of the trace algebra of \(3\times 3\) matrices. Zbl 1142.16009Benanti, F.; Drensky, V. 3 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 Coordinates and automorphisms of polynomial and free associative algebras of rank three. Zbl 1206.16015Drensky, 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. 12 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 52 2004 Multiplicities of Schur functions with applications to invariant theory and PI-algebras. Zbl 1056.05141Drensky, V.; Genov, G. K. 7 2004 Nonassociative exponential and logarithm. Zbl 1077.17003Drensky, Vesselin; Gerritzen, Lothar 6 2004 Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras. Zbl 1069.16020Drensky, Vesselin; Hammoudi, Lakhdar 6 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 4 2004 Defining relations for the algebra of invariants of \(2\times 2\) matrices. Zbl 1026.16009Drensky, Vesselin 13 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. 11 2003 Multiplicities of Schur functions in invariants of two \(3\times 3\) matrices. Zbl 1027.16013Drensky, Vesselin; Genov, Georgi K. 11 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 61 2002 Varieties of metabelian Leibniz algebras. Zbl 1025.17001Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 11 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 Growth of automorphism groups of relatively free groups. Zbl 0994.20032Drensky, V.; Papistas, A. I. 1 2001 Free algebras and PI-algebras. Graduate course in algebra. Zbl 0936.16001Drensky, Vesselin 200 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 Gelfand-Kirillov dimension for automorphism groups of relatively free algebras. Zbl 0980.16022Drensky, V.; Papistas, A. I. 1 2000 Identities of representations of Lie algebras and *-polynomial identities. Zbl 0919.16019Rashkova, Tsetska; Drensky, Vesselin 5 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 15 1998 A Hilbert-Nagata theorem in noncommutative invariant theory. Zbl 0916.16019Domokos, Mátyás; Drensky, Vesselin 9 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 Automorphisms of polynomial, free and generic matrix algebras. Zbl 0891.16024Drensky, Vesselin 1 1998 New polynomial identities for \(2\times 2\) generic matrices in characteristic \(2\). Zbl 0935.16010Drensky, Vesselin; Tsiganchev, Dimitar 1 1998 Identities of representations of nilpotent Lie algebras. Zbl 0879.17001Drensky, Vesselin 9 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. 5 1995 Cocharacters, codimensions and Hilbert series of the polynomial identities for \(2\times 2\) matrices with involution. Zbl 0814.16021Drensky, Vesselin; Giambruno, Antonio 67 1994 Fixed algebras of residually nilpotent Lie algebras. Zbl 0801.17020Drensky, Vesselin 13 1994 A central polynomial of low degree for \(4\times 4\) matrices. Zbl 0834.16020Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria 8 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 Dense subgroups of the automorphism groups of free algebras. Zbl 0999.17502Bryant, Roger M.; Drensky, Vesselin 10 1993 Obstructions to lifting automorphisms of free algebras. Zbl 0797.16032Bryant, Roger M.; Drensky, Vesselin 9 1993 Finite generation of invariants of finite linear groups on relatively free algebras. Zbl 0798.16022Drensky, Vesselin 3 1993 ...and 45 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 397 Authors 80 Drensky, Vesselin 49 Giambruno, Antonio 43 Zaĭtsev, Mikhail Vladimirovich 40 Koshlukov, Plamen Emilov 23 Centrone, Lucio 23 Yu, Jie-Tai 21 La Mattina, Daniela 20 Di Vincenzo, Onofrio Mario 20 Mishchenko, Sergeĭ Petrovich 17 Gordienko, Alekseĭ Sergeevich 15 Domokos, Mátyás 14 Fındık, Şehmus 14 Kanel’-Belov, Alekseĭ Yakovlevich 14 Petrogradsky, Victor Mikhaylovich 14 Repovš, Dušan D. 14 Shestakov, Ivan Pavlovich 13 Bahturin, Yuri 13 Ioppolo, Antonio 13 Martino, Fabrizio 12 Nardozza, Vincenzo C. 12 Valenti, Angela 11 Berele, Allan 11 Diniz Pereira da Silva e Silva, Diogo 11 Gonçalves, Dimas José 10 Regev, Amitai 9 Fidelis, Claudemir 9 Krasilnikov, Alexei N. 9 La Scala, Roberto 9 Mai Hoang Bien 9 Rowen, Louis Halle 8 Benanti, Francesca Saviella 8 Castilho de Mello, Thiago 7 Aljadeff, Eli 7 Bui Xuan Hai 7 Lawton, Sean 7 Lopatin, Artem A. 7 Szigeti, Jenó 7 Vieira, Ana Cristina 7 Vishne, Uzi 6 Chen, Yuqun 6 Rashkova, Tsetska Grigorova 6 Ribeiro Tomaz da Silva, Viviane 6 Rizzo, Carla 6 Umirbaev, Ualbaĭ Utmakhanbetovich 6 van Wyk, Leon 5 Kofinas, Constantinos E. 5 Papistas, Athanassios I. 5 Sviridova, Irina 5 Yasumura, Felipe Yukihide 4 Berson, Joost 4 Bokut, Leonid A. 4 Carini, Luisa 4 Cirrito, Alessio 4 Dos Santos, Rafael Bezerra 4 Haile, Darrell E. 4 Özkurt, Zeynep 4 Racine, Michel L. 4 Ratseev, Sergej Mikhaijlovich 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 Deryabina, Galina 3 Đoković, Dragomir Ž. 3 do Nascimento, Thais Silva 3 Dzhumadil’daev, Askar Serkulovich 3 Ekici, Naime 3 Fidelis, Marcello 3 Gonçalves Fonseca, Luís Felipe 3 Gong, Sheng-Jun 3 Gongopadhyay, Krishnendu 3 Guimarães, Alan De Araújo 3 Gupta, Chander Kanta 3 Hristova, Elitza 3 Ismailov, Nurlan A. 3 Kireeva, E. A. 3 Malev, Sergey 3 Mikhalëv, Aleksandr Aleksandrovich 3 Misso, Paola 3 Natapov, Michael 3 Rankin, Stuart A. 3 Schützer, Waldeck 3 Shpilrain, Vladimir 3 Shulezhko, Olesya Vladimirovna 3 Talpo, Humberto Luiz 3 Trang, Vu Mai 3 Zhang, Zerui 2 Aaghabali, Mehdi 2 Aladova, Elena V. 2 Alves Jorge, Sandra Mara 2 Aqué, Stefania 2 Aslaksen, Helmer 2 Bai, Yuxiu 2 Bedratyuk, Leonid 2 Bell, Jason P. 2 Bessades, D. C. L. 2 Blachar, Guy ...and 297 more Authors all top 5 Cited in 102 Serials 127 Journal of Algebra 67 Communications in Algebra 42 Journal of Pure and Applied Algebra 39 Linear Algebra and its Applications 32 International Journal of Algebra and Computation 31 Israel Journal of Mathematics 20 Linear and Multilinear Algebra 20 Transactions of the American Mathematical Society 16 Proceedings of the American Mathematical Society 15 Algebras and Representation Theory 15 Journal of Algebra and its Applications 14 Journal of Mathematical Sciences (New York) 11 Rendiconti del Circolo Matemàtico di Palermo. 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Académie des Sciences, Paris 1 Algebra and Discrete Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Mediterranean Journal of Mathematics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Contributions to Discrete Mathematics 1 Mathematics in Computer Science 1 Groups, Geometry, and Dynamics 1 Asian-European Journal of Mathematics 1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 1 ISRN Algebra 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications ...and 2 more Serials all top 5 Cited in 32 Fields 490 Associative rings and algebras (16-XX) 228 Nonassociative rings and algebras (17-XX) 120 Linear and multilinear algebra; matrix theory (15-XX) 113 Group theory and generalizations (20-XX) 83 Commutative algebra (13-XX) 60 Algebraic geometry (14-XX) 53 Combinatorics (05-XX) 19 General algebraic systems (08-XX) 17 Computer science (68-XX) 9 Category theory; homological algebra (18-XX) 7 Mathematical logic and foundations (03-XX) 6 Topological groups, Lie groups (22-XX) 4 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 4 Statistics (62-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Quantum theory (81-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 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-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