## Drensky, Vesselin

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 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
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### 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.
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### 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
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### 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)

### 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 0936.16001
Drensky, Vesselin
2000
Cocharacters, codimensions and Hilbert series of the polynomial identities for $$2\times 2$$ matrices with involution. Zbl 0814.16021
Drensky, Vesselin; Giambruno, Antonio
1994
Codimensions of T-ideals and Hilbert series of relatively free algebras. Zbl 0552.16006
Drensky, Vesselin
1984
Graded polynomial identities of matrices. Zbl 1019.16011
Bahturin, Yuri; Drensky, Vesselin
2002
Polynomial identity rings. Zbl 1077.16025
Drensky, Vesselin; Formanek, Edward
2004
Relations for the cocharacter sequences of $$T$$-ideals. Zbl 0766.16012
Drensky, Vesselin
1992
Tame and wild coordinates of $$K[z][x,y]$$. Zbl 0965.13008
Drensky, Vesselin; Yu, Jie-Tai
2001
A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0. Zbl 0496.16017
Drensky, V. S.
1982
Exact asymptotic behaviour of the codimensions of some P.I. algebras. Zbl 0884.16014
Drensky, Vesselin; Regev, Amitai
1996
Representations of the symmetric group and varieties of linear algebras. Zbl 0465.17007
Drenski, V. S.
1981
Polynomial identities for the Jordan algebra of a symmetric bilinear form. Zbl 0629.17011
Drensky, Vesselin
1987
Gelfand-Kirillov dimension of PI-algebras. Zbl 0948.16015
Drensky, Vesselin
1998
Automorphisms of free nilpotent Lie algebras. Zbl 0711.17010
Drensky, Vesselin; Gupta, C. K.
1990
Extremal varieties of algebras. I. Zbl 0658.16013
Drensky, Veselin S.
1987
Distinguishing simple Jordan algebras by means of polynomial identities. Zbl 0745.17027
Drensky, V. S.; Racine, M. L.
1992
Weak polynomial identities for the matrix algebras. Zbl 0799.16017
Drensky, Vesselin; Rashkova, Tsetska G.
1993
Defining relations for the algebra of invariants of $$2\times 2$$ matrices. Zbl 1026.16009
Drensky, Vesselin
2003
Defining relations of invariants of two $$3\times 3$$ matrices. Zbl 1100.16019
Aslaksen, Helmer; Drensky, Vesselin; Sadikova, Liliya
2006
Fixed algebras of residually nilpotent Lie algebras. Zbl 0801.17020
Drensky, Vesselin
1994
Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. Zbl 1087.16023
Drensky, Vesselin; Gupta, C. K.
2005
Generators of invariants of two $$4\times 4$$ matrices. Zbl 1104.16018
2006
Extremal varieties of algebras. II. Zbl 0661.16012
Drensky, Vesselin S.
1988
Polynomial identities of eighth degree for $$3\times 3$$ matrices. Zbl 0736.16012
Drensky, Vesselin; Kasparian, Azniv
1988
Multiplicities of Schur functions in invariants of two $$3\times 3$$ matrices. Zbl 1027.16013
Drensky, Vesselin; Genov, Georgi K.
2003
Codimensions of T-ideals and Hilbert series of relatively free algebras. Zbl 0496.16018
Drensky, V. S.
1981
Subvarieties of the varieties generated by the superalgebra $$M_{1,1}(E)$$ or $$M_2({\mathcal K})$$. Zbl 1039.16022
Di Vincenzo, O. M.; Drensky, V.; Nardozza, V.
2003
Varieties of metabelian Leibniz algebras. Zbl 1025.17001
Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria
2002
Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019
Bahturin, Yu. A.; Drensky, V.
2003
Obstructions to lifting automorphisms of free algebras. Zbl 0797.16032
Bryant, Roger M.; Drensky, Vesselin
1993
Dense subgroups of the automorphism groups of free algebras. Zbl 0999.17502
Bryant, Roger M.; Drensky, Vesselin
1993
On identities in Lie algebras. Zbl 0306.17002
Drensky, V. S.
1975
A new central polynomial for 3$$\times 3$$ matrices. Zbl 0556.16007
Drensky, Vesselin; Kasparian, Azniv
1985
A Hilbert-Nagata theorem in noncommutative invariant theory. Zbl 0916.16019
Domokos, Mátyás; Drensky, Vesselin
1998
Identities of representations of nilpotent Lie algebras. Zbl 0879.17001
Drensky, Vesselin
1997
Weak polynomial identities for a vector space with a symmetric bilinear form. Zbl 0658.16012
Drensky, V. S.; Koshlukov, P. E.
1987
T-ideals containing all matrix polynomial identities. Zbl 0578.16005
Drensky, Vesselin
1985
On the Hilbert series of relatively free algebras. Zbl 0549.16009
Drensky, Vesselin
1984
Automorphisms of relatively free algebras. Zbl 0726.16019
Drensky, Vesselin
1990
Computing with rational symmetric functions and applications to invariant theory and PI-algebras. Zbl 1374.13009
Benanti, Francesca; Boumova, Silvia; Drensky, Vesselin; Genov, Georgi K.; Koev, Plamen
2012
The strong Anick conjecture is true. Zbl 1161.16019
Drensky, Vesselin; Yu, Jie-Tai
2007
Multiplicities of Schur functions with applications to invariant theory and PI-algebras. Zbl 1056.05141
Drensky, V.; Genov, G. K.
2004
A central polynomial of low degree for $$4\times 4$$ matrices. Zbl 0834.16020
Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria
1994
Weitzenböck derivations of free metabelian Lie algebras. Zbl 1305.17007
Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus
2013
Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016
Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub
2013
The conjecture of Nowicki on Weitzenböck derivations of polynomial algebras. Zbl 1198.13024
Drensky, Vesselin; Makar-Limanov, Leonid
2009
Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras. Zbl 1069.16020
Drensky, Vesselin; Hammoudi, Lakhdar
2004
On the $$*$$-polynomial identities of minimal degree for matrices with involution. Zbl 0862.16015
Drensky, Vesselin; Giambruno, Antonio
1995
Orbits in free algebras of rank two. Zbl 0899.16016
Drensky, Vesselin; Yu, Jie-Tai
1998
Identities of representations of Lie algebras and *-polynomial identities. Zbl 0919.16019
Rashkova, Tsetska; Drensky, Vesselin
1999
Gröbner bases of ideals invariant under endomorphisms. Zbl 1125.16012
Drensky, Vesselin; La Scala, Roberto
2006
Polynomial identities for 2$$\times 2$$ matrices. Zbl 0717.16021
Drensky, Vesselin
1990
New stably tame automorphisms of polynomial algebras. Zbl 0954.16023
Drensky, Vesselin; van den Essen, Arno; Stefanov, Dimitre
2000
Representations of the symmetric group and varieties of linear algebras. Zbl 0487.17008
Drenski, V. S.
1982
Nonassociative exponential and logarithm. Zbl 1077.17003
Drensky, Vesselin; Gerritzen, Lothar
2004
Test polynomials for automorphisms of polynomial and free associative algebras. Zbl 0967.16020
Drensky, Vesselin; Yu, Jie-Tai
1998
New automorphisms of generic matrix algebras and polynomial algebras. Zbl 0884.16016
Drensky, Vesselin; Gupta, C. K.
1997
Planar trees, free nonassociative algebras, invariants, and elliptic integrals. Zbl 1164.17009
Drensky, Vesselin; Holtkamp, Ralf
2008
Automorphisms of polynomial algebras and Dirichlet series. Zbl 1157.13015
Drensky, Vesselin; Yu, Jie-Tai
2009
Defining relations of minimal degree of the trace algebra of $$3\times 3$$ matrices. Zbl 1153.16016
Benanti, Francesca; Drensky, Vesselin
2008
Noetherianity and Specht problem for varieties of bicommutative algebras. Zbl 1407.17003
Drensky, Vesselin; Zhakhayev, Bekzat K.
2018
Explicit codimension formulas of certain T-ideals. Zbl 0676.16015
Drensky, V. S.
1988
Defining relation for semi-invariants of three by three matrix triples. Zbl 1260.13010
Domokos, Mátyás; Drensky, Vesselin
2012
Cocharacters of polynomial identities of upper triangular matrices. Zbl 1248.16020
Boumova, Silvia; Drensky, Vesselin
2012
Automorphisms and coordinates of polynomial algebras. Zbl 0998.14026
Drensky, Vesselin; Yu, Jie-Tai
2000
Polynomial identities for Jordan algebras of degree two. Zbl 0729.17020
Drensky, Vesselin; Koshlukov, Plamen
1990
Gröbner bases for the rings of special orthogonal and $$2\times 2$$ matrix invariants. Zbl 1031.16016
Domokos, M.; Drensky, V.
2001
New central polynomials for the matrix algebra. Zbl 0841.16027
Drensky, V.
1995
Algebras satisfying the polynomial identity $$[x_1,x_2][x_3,x_4,x_5]=0$$. Zbl 1060.16025
Di Vincenzo, Onofrio M.; Drensky, Vesselin; Nardozza, Vincenzo
2004
The basis of the graded polynomial identities for superalgebras of triangular matrices. Zbl 0851.16022
Di Vincenzo, Onofrio M.; Drensky, Vesselin
1996
Identities in matrix Lie algebras. Zbl 0465.17008
Drenski, V. S.
1981
Gröbner bases and the Nagata automorphism. Zbl 0932.13013
Drensky, Vesselin; Gutierrez, Jaime; Yu, Jie-Tai
1999
Automorphisms fixing a variable of $$K\langle x,y,z\rangle$$. Zbl 1086.16019
Drensky, Vesselin; Yu, Jie-Tai
2005
The strong Anick conjecture. Zbl 1161.16020
Drensky, Vesselin; Yu, Jie-Tai
2006
Rationality of Hilbert series in noncommutative invariant theory. Zbl 1405.16032
Domokos, Mátyás; Drensky, Vesselin
2017
Multiplicities in the trace cocharacter sequence of two $$4\times 4$$ matrices. Zbl 1119.16023
Drensky, Vesselin; Genov, Georgi K.
2005
Inner and outer automorphisms of free metabelian nilpotent Lie algebras. Zbl 1317.17006
Drensky, Vesselin; Fındık, Şehmus
2012
On identities of Lie algebras. Zbl 0298.17011
Drensky, V. S.
1974
Generic $$2\times 2$$ matrices in positive characteristic. Zbl 0947.16012
Asparouhov, Tihomir; Drensky, Vesselin; Koev, Plamen; Tsiganchev, Dimitar
2000
Polynomial identities in simple Jordan algebras. Zbl 0513.17007
Drensky, V. S.
1982
On lattices of varieties of associative algebras. Zbl 0514.16009
Drensky, Veselin S.
1982
Defining relations of low degree of invariants of two $$4\times 4$$ matrices. Zbl 1181.16021
Drensky, Vesselin; La Scala, Roberto
2009
Retracts and test polynomials of polynomial algebras. Zbl 1017.13010
Drensky, V.; Yu, Jie-Tai
2002
Automorphisms of free left nilpotent Leibniz algebras and fixed points. Zbl 1113.17002
Drensky, V.; Papistas, A. I.
2005
Constants of formal derivatives of non-associative algebras, Taylor expansions and applications. Zbl 1117.17002
Drensky, Vesselin; Holtkamp, Ralf
2006
Multiplicities in the mixed trace cocharacter sequence of two $$3\times 3$$ matrices. Zbl 1110.16022
Drensky, Vesselin; Genov, Georgi K.; Valenti, Angela
2006
Finite generation of invariants of finite linear groups on relatively free algebras. Zbl 0798.16022
Drensky, Vesselin
1993
Varieties of metabelian Jordan algebras. Zbl 0715.17029
Drensky, Vesselin S.; Rashkova, Tsetska G.
1989
Defining relations of minimal degree of the trace algebra of $$3\times 3$$ matrices. Zbl 1142.16009
Benanti, F.; Drensky, V.
2007
Computing with matrix invariants. Zbl 1161.16018
Drensky, Vesselin
2007
Invariants of unipotent transformations acting on Noetherian relatively free algebras. Zbl 1066.16022
Drensky, Vesselin
2004
Endomorphisms and automorphisms of relatively free algebras. Zbl 0822.16022
Drensky, Vesselin
1993
Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014
Bakhturin, Yu. A.; Drensky, V. S.
1987
Monomial ideals, group algebras and error correcting codes. Zbl 0679.16006
Drensky, Vesselin; Lakatos, Piroska
1989
Über Identitäten in Lieschen Algebren. Zbl 0327.17003
Drenski, V. S.
1974
Wild automorphisms of nilpotent-by-abelian Lie algebras. Zbl 0851.17008
Drensky, Vesselin
1992
The Hilbert series of the polynomial identities for the tensor square of the Grassmann algebra. Zbl 0793.16013
Carini, Luisa; Drensky, Vesselin
1991
Torsion in the additive group of relatively free Lie rings. Zbl 0573.17013
Drensky, Vesselin
1986
Identities in matrix Lie algebras. Zbl 0586.17010
Drensky, V. S.
1986
Varieties of pairs of algebras with a distributive lattice of subvarieties. Zbl 0608.16023
Drenski, Vesselin S.; Vladimirova, Lyubov A.
1986
Polynomial identities of finite dimensional algebras. Zbl 0621.16019
Drensky, Vesselin S.
1986
Constructive noncommmutative invariant theory. Zbl 07371499
Domokos, Mátyás; Drensky, Vesselin
2021
Cocharacters for the weak polynomial identities of the Lie algebra of $$3 \times 3$$ skew-symmetric matrices. Zbl 1459.16023
Domokos, Mátyás; Drensky, Vesselin
2020
Drensky, Vesselin; Fındık, Şehmus
2020
Symmetric polynomials in the free metabelian Lie algebras. Zbl 1475.17010
Drensky, Vesselin; Fındık, Şehmus; Öüşlü, Nazar Şahn
2020
Locally nilpotent derivations of free algebra of rank two. Zbl 1481.16027
Drensky, Vesselin; Makar-Limanov, Leonid
2019
Drensky, Vesselin; Findik, Sehmus
2019
On computing Schur functions and series thereof. Zbl 1428.05309
Chan, Cy; Drensky, Vesselin; Edelman, Alan; Kan, Raymond; Koev, Plamen
2019
Noetherianity and Specht problem for varieties of bicommutative algebras. Zbl 1407.17003
Drensky, Vesselin; Zhakhayev, Bekzat K.
2018
Rationality of Hilbert series in noncommutative invariant theory. Zbl 1405.16032
Domokos, Mátyás; Drensky, Vesselin
2017
Weitzenböck derivations of free metabelian associative algebras. Zbl 1387.16039
Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus
2017
Noether bound for invariants in relatively free algebras. Zbl 1348.16017
Domokos, Mátyás; Drensky, Vesselin
2016
GK-dimension of $$2\times 2$$ generic Lie matrices. Zbl 1389.16037
Drensky, Vesselin; Koshlukov, Plamen; Machado, Gustavo Grings
2016
Weitzenböck derivations of free metabelian Lie algebras. Zbl 1305.17007
Dangovski, Rumen; Drensky, Vesselin; Fındık, Şehmus
2013
Shirshov’s theorem and division rings that are left algebraic over a subfield. Zbl 1293.16016
Bell, Jason P.; Drensky, Vesselin; Sharifi, Yaghoub
2013
Central polynomials for matrices over finite fields. Zbl 1282.16024
Brešar, Matej; Drensky, Vesselin
2013
Algebraic properties of codimension series of PI-algebras. Zbl 1301.16024
Boumova, Silvia; Drensky, Vesselin
2013
Computing with rational symmetric functions and applications to invariant theory and PI-algebras. Zbl 1374.13009
Benanti, Francesca; Boumova, Silvia; Drensky, Vesselin; Genov, Georgi K.; Koev, Plamen
2012
Defining relation for semi-invariants of three by three matrix triples. Zbl 1260.13010
Domokos, Mátyás; Drensky, Vesselin
2012
Cocharacters of polynomial identities of upper triangular matrices. Zbl 1248.16020
Boumova, Silvia; Drensky, Vesselin
2012
Inner and outer automorphisms of free metabelian nilpotent Lie algebras. Zbl 1317.17006
Drensky, Vesselin; Fındık, Şehmus
2012
Inner automorphisms of Lie algebras related with generic $$2 \times 2$$ matrices. Zbl 1330.17022
Drensky, Vesselin; Fındık, Şehmus
2012
The conjecture of Nowicki on Weitzenböck derivations of polynomial algebras. Zbl 1198.13024
Drensky, Vesselin; Makar-Limanov, Leonid
2009
Automorphisms of polynomial algebras and Dirichlet series. Zbl 1157.13015
Drensky, Vesselin; Yu, Jie-Tai
2009
Defining relations of low degree of invariants of two $$4\times 4$$ matrices. Zbl 1181.16021
Drensky, Vesselin; La Scala, Roberto
2009
Degree estimate for commutators. Zbl 1187.16024
Drensky, Vesselin; Yu, Jie-Tai
2009
Planar trees, free nonassociative algebras, invariants, and elliptic integrals. Zbl 1164.17009
Drensky, Vesselin; Holtkamp, Ralf
2008
Defining relations of minimal degree of the trace algebra of $$3\times 3$$ matrices. Zbl 1153.16016
Benanti, Francesca; Drensky, Vesselin
2008
Drensky, Vesselin; Yu, Jie-Tai
2008
The strong Anick conjecture is true. Zbl 1161.16019
Drensky, Vesselin; Yu, Jie-Tai
2007
Defining relations of minimal degree of the trace algebra of $$3\times 3$$ matrices. Zbl 1142.16009
Benanti, F.; Drensky, V.
2007
Computing with matrix invariants. Zbl 1161.16018
Drensky, Vesselin
2007
Coordinates and automorphisms of polynomial and free associative algebras of rank three. Zbl 1206.16015
Drensky, Vesselin; Yu, Jie-Tai
2007
Automorphic equivalence problem for free associative algebras of rank two. Zbl 1149.16021
Drensky, Vesselin; Yu, Jie-Tai
2007
Tame automorphisms fixing a variable of free associative algebras of rank three. Zbl 1168.16011
Drensky, Vesselin; Yu, Jie-Tai
2007
Defining relations of invariants of two $$3\times 3$$ matrices. Zbl 1100.16019
Aslaksen, Helmer; Drensky, Vesselin; Sadikova, Liliya
2006
Generators of invariants of two $$4\times 4$$ matrices. Zbl 1104.16018
2006
Gröbner bases of ideals invariant under endomorphisms. Zbl 1125.16012
Drensky, Vesselin; La Scala, Roberto
2006
The strong Anick conjecture. Zbl 1161.16020
Drensky, Vesselin; Yu, Jie-Tai
2006
Constants of formal derivatives of non-associative algebras, Taylor expansions and applications. Zbl 1117.17002
Drensky, Vesselin; Holtkamp, Ralf
2006
Multiplicities in the mixed trace cocharacter sequence of two $$3\times 3$$ matrices. Zbl 1110.16022
Drensky, Vesselin; Genov, Georgi K.; Valenti, Angela
2006
Defining relations of the noncommutative trace algebra of two $$3\times 3$$ matrices. Zbl 1123.16014
Benanti, Francesca; Drensky, Vesselin
2006
Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras. Zbl 1087.16023
Drensky, Vesselin; Gupta, C. K.
2005
Automorphisms fixing a variable of $$K\langle x,y,z\rangle$$. Zbl 1086.16019
Drensky, Vesselin; Yu, Jie-Tai
2005
Multiplicities in the trace cocharacter sequence of two $$4\times 4$$ matrices. Zbl 1119.16023
Drensky, Vesselin; Genov, Georgi K.
2005
Automorphisms of free left nilpotent Leibniz algebras and fixed points. Zbl 1113.17002
Drensky, V.; Papistas, A. I.
2005
Defining relations of invariants of two $$3\times 3$$ matrices. Zbl 1076.16019
Aslaksen, H.; Drensky, V.; Sadikova, L.
2005
Polynomial identity rings. Zbl 1077.16025
Drensky, Vesselin; Formanek, Edward
2004
Multiplicities of Schur functions with applications to invariant theory and PI-algebras. Zbl 1056.05141
Drensky, V.; Genov, G. K.
2004
Combinatorics of words and semigroup algebras which are sums of locally nilpotent subalgebras. Zbl 1069.16020
Drensky, Vesselin; Hammoudi, Lakhdar
2004
Nonassociative exponential and logarithm. Zbl 1077.17003
Drensky, Vesselin; Gerritzen, Lothar
2004
Algebras satisfying the polynomial identity $$[x_1,x_2][x_3,x_4,x_5]=0$$. Zbl 1060.16025
Di Vincenzo, Onofrio M.; Drensky, Vesselin; Nardozza, Vincenzo
2004
Invariants of unipotent transformations acting on Noetherian relatively free algebras. Zbl 1066.16022
Drensky, Vesselin
2004
Defining relations for the algebra of invariants of $$2\times 2$$ matrices. Zbl 1026.16009
Drensky, Vesselin
2003
Multiplicities of Schur functions in invariants of two $$3\times 3$$ matrices. Zbl 1027.16013
Drensky, Vesselin; Genov, Georgi K.
2003
Subvarieties of the varieties generated by the superalgebra $$M_{1,1}(E)$$ or $$M_2({\mathcal K})$$. Zbl 1039.16022
Di Vincenzo, O. M.; Drensky, V.; Nardozza, V.
2003
Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019
Bahturin, Yu. A.; Drensky, V.
2003
Primitive elements of free metabelian algebras of rank two. Zbl 1056.16021
Drensky, Vesselin; Yu, Jie-Tai
2003
Computational approach to polynomial identities of matrices – a survey. Zbl 1067.16041
Benanti, Francesca; Demmel, James; Drensky, Vesselin; Koev, Plamen
2003
Graded polynomial identities of matrices. Zbl 1019.16011
Bahturin, Yuri; Drensky, Vesselin
2002
Varieties of metabelian Leibniz algebras. Zbl 1025.17001
Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria
2002
Retracts and test polynomials of polynomial algebras. Zbl 1017.13010
Drensky, V.; Yu, Jie-Tai
2002
Multiplicities of Schur functions in invariants of two $$3\times 3$$ matrices. Zbl 1008.16023
Drensky, V.; Genov, G. K.
2002
Tame and wild coordinates of $$K[z][x,y]$$. Zbl 0965.13008
Drensky, Vesselin; Yu, Jie-Tai
2001
Gröbner bases for the rings of special orthogonal and $$2\times 2$$ matrix invariants. Zbl 1031.16016
Domokos, M.; Drensky, V.
2001
Free algebras and PI-algebras. Graduate course in algebra. Zbl 0936.16001
Drensky, Vesselin
2000
New stably tame automorphisms of polynomial algebras. Zbl 0954.16023
Drensky, Vesselin; van den Essen, Arno; Stefanov, Dimitre
2000
Automorphisms and coordinates of polynomial algebras. Zbl 0998.14026
Drensky, Vesselin; Yu, Jie-Tai
2000
Generic $$2\times 2$$ matrices in positive characteristic. Zbl 0947.16012
Asparouhov, Tihomir; Drensky, Vesselin; Koev, Plamen; Tsiganchev, Dimitar
2000
Lie automorphisms of the algebra of two generic $$2\times 2$$ matrices. Zbl 0961.16012
Drensky, Vesselin; Gupta, C. K.
2000
On the density of the set of generators of a polynomial algebra. Zbl 0957.13017
Drensky, Vesselin; Shpilrain, Vladimir; Yu, Jie-Tai
2000
Identities of representations of Lie algebras and *-polynomial identities. Zbl 0919.16019
Rashkova, Tsetska; Drensky, Vesselin
1999
Gröbner bases and the Nagata automorphism. Zbl 0932.13013
Drensky, Vesselin; Gutierrez, Jaime; Yu, Jie-Tai
1999
Gelfand-Kirillov dimension of PI-algebras. Zbl 0948.16015
Drensky, Vesselin
1998
A Hilbert-Nagata theorem in noncommutative invariant theory. Zbl 0916.16019
Domokos, Mátyás; Drensky, Vesselin
1998
Orbits in free algebras of rank two. Zbl 0899.16016
Drensky, Vesselin; Yu, Jie-Tai
1998
Test polynomials for automorphisms of polynomial and free associative algebras. Zbl 0967.16020
Drensky, Vesselin; Yu, Jie-Tai
1998
Exponential automorphisms of polynomial algebras. Zbl 0980.16026
Drensky, Vesselin; Yu, Jie-Tai
1998
On the consequences of the standard polynomial. Zbl 0919.16016
Benanti, Francesca; Drensky, Vesselin
1998
New polynomial identities for $$2\times 2$$ generic matrices in characteristic $$2$$. Zbl 0935.16010
Drensky, Vesselin; Tsiganchev, Dimitar
1998
Automorphisms of polynomial, free and generic matrix algebras. Zbl 0891.16024
Drensky, Vesselin
1998
Identities of representations of nilpotent Lie algebras. Zbl 0879.17001
Drensky, Vesselin
1997
New automorphisms of generic matrix algebras and polynomial algebras. Zbl 0884.16016
Drensky, Vesselin; Gupta, C. K.
1997
Exact asymptotic behaviour of the codimensions of some P.I. algebras. Zbl 0884.16014
Drensky, Vesselin; Regev, Amitai
1996
The basis of the graded polynomial identities for superalgebras of triangular matrices. Zbl 0851.16022
Di Vincenzo, Onofrio M.; Drensky, Vesselin
1996
On the $$*$$-polynomial identities of minimal degree for matrices with involution. Zbl 0862.16015
Drensky, Vesselin; Giambruno, Antonio
1995
New central polynomials for the matrix algebra. Zbl 0841.16027
Drensky, V.
1995
Cocharacters, codimensions and Hilbert series of the polynomial identities for $$2\times 2$$ matrices with involution. Zbl 0814.16021
Drensky, Vesselin; Giambruno, Antonio
1994
Fixed algebras of residually nilpotent Lie algebras. Zbl 0801.17020
Drensky, Vesselin
1994
A central polynomial of low degree for $$4\times 4$$ matrices. Zbl 0834.16020
Drensky, Vesselin; Piacentini Cattaneo, Giulia Maria
1994
Plethysms for representations of Lie superalgebras with applications to PI algebras. Zbl 0823.17006
Carini, Luisa; Drensky, Vesselin
1994
Weak polynomial identities for the matrix algebras. Zbl 0799.16017
Drensky, Vesselin; Rashkova, Tsetska G.
1993
Obstructions to lifting automorphisms of free algebras. Zbl 0797.16032
Bryant, Roger M.; Drensky, Vesselin
1993
Dense subgroups of the automorphism groups of free algebras. Zbl 0999.17502
Bryant, Roger M.; Drensky, Vesselin
1993
Finite generation of invariants of finite linear groups on relatively free algebras. Zbl 0798.16022
Drensky, Vesselin
1993
Endomorphisms and automorphisms of relatively free algebras. Zbl 0822.16022
Drensky, Vesselin
1993
Polynomial identities for tensor products of Grassmann algebras. Zbl 0810.16024
Di Vincenzo, Onofrio M.; Drensky, Vesselin
1993
Relations for the cocharacter sequences of $$T$$-ideals. Zbl 0766.16012
Drensky, Vesselin
1992
Distinguishing simple Jordan algebras by means of polynomial identities. Zbl 0745.17027
Drensky, V. S.; Racine, M. L.
1992
Wild automorphisms of nilpotent-by-abelian Lie algebras. Zbl 0851.17008
Drensky, Vesselin
1992
Drensky, Vesselin
1992
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### Cited by 367 Authors

 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)