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Bahturin, Yuri

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Author ID: bahturin.yuri-a Recent zbMATH articles by "Bahturin, Yuri"
Published as: Bahturin, Ju. A.; Bahturin, Juri A.; Bahturin, Y.; Bahturin, Y. A.; Bahturin, Yu.; Bahturin, Yu. A.; Bahturin, Yuri; Bahturin, Yuri A.; Bakhturin, Yu. A.; Bakhturin, Yuri; Bakhturin, Yuri A.; Bakhturīn, Yu. O.
Homepage: https://www.mun.ca/math/people/ppl-faculty/yuri.php
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 147 Publications since 1968, including 14 Books
Biographic References: 1 Publication
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Serials

17 Journal of Algebra
11 Communications in Algebra
6 Linear Algebra and its Applications
4 Moscow University Mathematics Bulletin
4 Canadian Mathematical Bulletin
4 Proceedings of the American Mathematical Society
4 Mathematics of the USSR, Sbornik
4 Journal of Mathematical Sciences (New York)
3 Matematicheskiĭ Sbornik. Novaya Seriya
3 Journal of Lie Theory
2 Israel Journal of Mathematics
2 Matematicheskie Zametki
2 Algebra and Logic
2 Algebra i Logika
2 Archiv der Mathematik
2 Journal of the London Mathematical Society. Second Series
2 Journal of Pure and Applied Algebra
2 Pacific Journal of Mathematics
2 Transactions of the American Mathematical Society
2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
2 Trudy Seminara Imeni I. G. Petrovskogo
2 Sbornik: Mathematics
2 Algebras and Representation Theory
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Journal of Soviet Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Revista Colombiana de Matemáticas
1 Siberian Mathematical Journal
1 Sibirskiĭ Matematicheskiĭ Zhurnal
1 Soviet Mathematics
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 European Journal of Combinatorics
1 Advances in Applied Mathematics
1 Acta Applicandae Mathematicae
1 Science in China. Series A
1 International Journal of Algebra and Computation
1 Serdica
1 Matematicheskiĭ Sbornik
1 Russian Academy of Sciences. Sbornik. Mathematics
1 Serdica Mathematical Journal
1 Matemática Contemporânea
1 Visnyk Kyïvs’kogo Universytetu. Matematyka i Mekhanika
1 Journal of the Australian Mathematical Society
1 De Gruyter Expositions in Mathematics
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 São Paulo Journal of Mathematical Sciences

Publications by Year

Citations contained in zbMATH

112 Publications have been cited 1,024 times in 585 Documents Cited by Year
Group gradings on associative algebras. Zbl 0988.16033
Bahturin, Yu. A.; Sehgal, S. K.; Zaicev, M. V.
85
2001
Identities in Lie algebras. Zbl 0571.17001
Bakhturin, Yu. A.
56
1985
Graded polynomial identities of matrices. Zbl 1019.16011
Bahturin, Yuri; Drensky, Vesselin
52
2002
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
50
2005
Group gradings on matrix algebras. Zbl 1022.16032
Bahturin, Yu. A.; Zaicev, M. V.
45
2002
Identities of graded algebras. Zbl 0920.16011
Bahturin, Yu. A.; Zaicev, M. V.
45
1998
Finite-dimensional simple graded algebras. Zbl 1258.16046
Bahturin, Yu. A.; Zaicev, M. V.; Sehgal, S. K.
34
2008
Identical relations in Lie algebras. Transl. from the Russian. Zbl 0691.17001
Bakhturin, Yu. A.
31
1987
Graded algebras and graded identities. Zbl 1053.16032
Bahturin, Yu. A.; Zaicev, M. V.
28
2003
Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\). Zbl 1229.17031
Bahturin, Yuri; Kochetov, Mikhail
25
2010
On identical relations in free polynilpotent Lie algebras. Zbl 0414.17008
Bahturin, Yuri
25
1979
Identities of graded algebras and codimension growth. Zbl 1052.16014
Bahturin, Yu. A.; Zaicev, M. V.
23
2004
Infinite-dimensional Lie superalgebras. Zbl 0970.17011
Bahturin, Yuri; Mikhalev, Alexander A.; Zaicev, Mikhail
22
2000
\(G\)-identities on associative algebras. Zbl 0910.16009
Bahturin, Y.; Giambruno, A.; Zaicev, M.
20
1999
Identities of algebras with actions of Hopf algebras. Zbl 0912.16009
Bahturin, Y. A.; Linchenko, V.
19
1998
Group gradings on simple Lie algebras of type “A”. Zbl 1141.17006
Bahturin, Yuri; Zaicev, Mikhail
18
2006
Group-graded algebras with polynomial identity. Zbl 0920.16010
Bahturin, Yuri; Giambruno, Antonio; Riley, David M.
18
1998
On the generalized Lie structure of associative algebras. Zbl 0874.16024
Bahturin, Y.; Fischman, D.; Montgomery, S.
17
1996
Group gradings on \(G_2\). Zbl 1190.17005
Bahturin, Y. A.; Tvalavadze, M. V.
16
2009
Some examples of locally finite simple Lie algebras. Zbl 0823.17007
Bahturin, Yu.; Strade, H.
16
1995
Involutions on graded matrix algebras. Zbl 1129.16033
Bahturin, Yuri; Zaicev, Mikhail
15
2007
Universal sums of Abelian subalgebras. Zbl 0837.16020
Bahturin, Yuri; Kegel, O. H.
13
1995
Lie gradings on associative algebras. Zbl 1207.17037
Bahturin, Yuri; Brešar, Matej
12
2009
Bicharacters, twistings, and Scheunert’s theorem for Hopf algebras. Zbl 0966.17017
Bahturin, Yuri; Fischman, Davida; Montgomery, Susan
12
2001
Simple graded division algebras over the field of real numbers. Zbl 1395.16046
Bahturin, Yuri; Zaicev, Mikhail
10
2016
Group gradings on superinvolution simple superalgebras. Zbl 1173.16023
Bahturin, Yu.; Tvalavadze, M.; Tvalavadze, T.
10
2009
Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025
Bahturin, Yuri; Shestakov, Ivan
10
2001
Identities of sums of commutative subalgebras. Zbl 0829.16014
Bahturin, Yuri; Giambruno, Antonio
10
1994
Infinite dimensional Lie superalgebras. Zbl 0762.17001
Bakhturin, Yu. A.; Mikhalev, A. A.; Petrogradskiĭ, V. M.; Zaĭtsev, M. V.
10
1992
Lectures on Lie algebras. Lectures given at Humbolt University Berlin and Lomonosov University Moscow. Zbl 0396.17006
Bahturin, Ju. A.
10
1978
Group gradings on simple Lie algebras in positive characteristic. Zbl 1168.17016
Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan
9
2009
Highest weight modules for locally finite Lie algebras. Zbl 0920.17011
Bakhturin, Yuri; Benkart, Georgia
9
1997
Identities in the universal envelopes of Lie algebras. Zbl 0298.17013
Bakhturin, Yu. A.
9
1974
Group gradings on filiform Lie algebras. Zbl 1400.17005
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
8
2016
Actions of maximal growth. Zbl 1201.16024
Bahturin, Yuri; Olshanskii, Alexander
8
2010
Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019
Bahturin, Yu. A.; Drensky, V.
8
2003
PI-envelopes of Lie superalgebras. Zbl 1027.17024
Bahturin, Yuri; Montgomery, Susan
8
1999
Basic structures of modern algebra. Zbl 0707.00001
Bakhturin, Yu. A.
8
1990
Gradings on classical central simple real Lie algebras. Zbl 1448.17031
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
7
2018
Large restricted Lie algebras. Zbl 1219.17014
Bahturin, Yuri; Olshanskii, Alexander
7
2007
Automorphisms and derivations of abelian extensions of some Lie algebras. Zbl 0780.17020
Bakhturin, Yu. A.; Nabiev, S.
7
1992
Identical relations in finite Lie rings. Zbl 0319.17004
Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu.
7
1975
Group gradings on finitary simple Lie algebras. Zbl 1257.17038
Bahturin, Yuri; Brešar, Matej; Kochetov, Mikhail
6
2012
Filtrations and distortion in infinite-dimensional algebras. Zbl 1236.16039
Bahturin, Yuri; Olshanskii, Alexander
6
2011
Group gradings on associative algebras with involution. Zbl 1153.16040
Bahturin, Y. A.; Giambruno, A.
6
2008
\(G\)-identities of non-associative algebras. Zbl 0939.17002
Bakhturin, Yu. A.; Zaitsev, M. V.; Sehgal, S. K.
6
1999
Group gradings on Lie algebras, with applications to geometry. I. Zbl 1354.17023
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
5
2014
Gradings on simple algebras of finitary matrices. Zbl 1259.16048
Bahturin, Yuri; Zaicev, Mikhail
5
2010
Lie superautomorphisms on associative algebras. Zbl 1221.16029
Bahturin, Yuri; Brešar, Matej
5
2010
Graded tensor products. Zbl 1186.16013
Bahturin, Yuri; Regev, Amitai
5
2009
Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311
Bahturin, Yuri; Benkart, Georgia
5
2004
Identical relations in finite Lie rings. Zbl 0332.17005
Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu.
5
1976
Classification of involutions on graded-division simple real algebras. Zbl 1417.16036
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
4
2018
Group gradings on free algebras of nilpotent varieties of algebras. Zbl 1374.16102
Bahturin, Yuri
4
2012
Semigroup gradings on associative rings. Zbl 1114.16038
Bahturin, Y. A.; Zaicev, M. V.
4
2006
On the Lie and associative codimensions growth. Zbl 0940.16013
Bahturin, Yuri; Mishchenko, Sergei; Regev, Amitai
4
1999
Sums of simple subalgebras. Zbl 0938.16009
Bahturin, Yu. A.; Kegel, O. H.
4
1999
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
3
2011
Group gradings on the Lie algebra \(\mathfrak{psl}_n\) in positive characteristic. Zbl 1185.17023
Bahturin, Yuri; Kochetov, Mikhail
3
2009
\(Z_2\times Z_2\)-symmetric spaces. Zbl 1156.53030
Bahturin, Yuri; Goze, Michel
3
2008
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
3
2006
Polynomial identities in smash products. Zbl 1014.17006
Bahturin, Yuri; Petrogradsky, Victor
3
2002
Codimension growth and graded identities. Zbl 0968.16007
Bahturin, Y.; Giambruno, A.; Zaicev, M.
3
2000
Cohomologies of certain Lie algebras with an abelian ideal. Zbl 0856.17023
Bakhturin, Yu. A.; Pagon, D.
3
1993
Identities. Zbl 0673.16001
Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu.
3
1988
Identities of a universal enveloping algebra for a Lie superalgebra. Zbl 0579.17005
Bakhturin, Yu. A.
3
1985
On Lie subalgebras of associative PI-algebras. Zbl 0453.16009
Bahturin, Yuri
3
1980
2-variable identities of the Lie algebra \(\text{sl}(2,k)\). Zbl 0432.17008
Bakhturin, Yu. A.
3
1979
A remark on irreducible representations of Lie algebras. Zbl 0403.17008
Bahturin, Ju. A.
3
1979
Identities in Lie algebras. I. Zbl 0268.17004
Bahturin, Ju. A.
3
1973
Two remarks on varieties of Lie algebras. Zbl 0186.34304
Bakhturin, Yu. A.
3
1968
Graded identities of simple real graded division algebras. Zbl 1420.16030
Bahturin, Yuri; Diniz, Diogo
2
2018
Group gradings on the Lie and Jordan superalgebras \(Q(n)\). Zbl 1419.17034
Bahturin, Yuri; Dos Santos, Helen Samara; Hornhardt, Caio De Naday; Kochetov, Mikhail
2
2017
Group gradings on Lie algebras and applications to geometry. II. Zbl 1354.17022
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
2
2014
Group gradings on integral group rings. Zbl 1102.16026
Bahturin, Yuri A.; Parmenter, Michael M.
2
2006
Simple Lie subalgebras of locally finite associative algebras. Zbl 1104.17014
Bahturin, Y. A.; Baranov, A. A.; Zalesski, A. E.
2
2004
Generalized Lie solvability of associative algebras. Zbl 1051.17018
Bahturin, Yuri; Montgomery, Susan; Zaicev, Mikhail
2
2003
Generalized commutativity in group algebras. Zbl 1032.16023
Bahturin, Yu. A.; Parmenter, M. M.
2
2003
Identities of graded alternative algebras. Zbl 1006.17028
Bahturin, Y.; Zaicev, M.
2
2000
Locally finite-dimensional simple Lie algebras. Zbl 0829.17016
Bakhturin, Yu. A.; Strade, Helmut
2
1994
Basic structures of modern algebra. Translated from Russian by D. Žvirénaité. Zbl 0793.00001
Bahturin, Yuri
2
1993
Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014
Bakhturin, Yu. A.; Drensky, V. S.
2
1987
Nonassociative rings. Zbl 0486.17001
Bakhturin, Yu. A.; Slin’ko, A. M.; Shestakov, I. P.
2
1981
On special Lie algebras. Zbl 0489.17006
Bakhturin, Yu. A.
2
1980
On homomorphisms of soluble Lie algebras. Zbl 0432.17007
Bahturin, Yuri
2
1979
On identities in Lie algebras. I. Zbl 0258.17007
Bahturin, Ju. A.
2
1973
Distinguishing simple algebras by means of polynomial identities. Zbl 1435.17007
Bahturin, Yuri; Yasumura, Felipe
1
2019
Graded polynomial identities as identities of universal algebras. Zbl 1435.17006
Bahturin, Yuri; Yasumura, Felipe
1
2019
Graded division algebras over the field of real numbers. Zbl 1440.16049
Bahturin, Yuri; Zaicev, Mikhail
1
2018
Growth of subalgebras and subideals in free Lie algebras. Zbl 1311.17003
Bahturin, Yuri; Olshanskii, Alexander
1
2015
Lie superautomorphisms on associative algebras. II. Zbl 1257.16032
Bahturin, Yuri; Brešar, Matej; Špenko, Špela
1
2012
Group gradings on restricted Cartan-type Lie algebras. Zbl 1276.17015
Bahturin, Yuri; Kochetov, Mikhail
1
2011
Commutation relations and Vandermonde determinants. Zbl 1168.15002
Bahturin, Yuri; Regev, Amitai; Zeilberger, Doron
1
2009
Sums of simple and nilpotent Lie subalgebras. Zbl 1026.17011
Bahturin, Y.; Tvalavadze, M.; Tvalavadze, T.
1
2002
Polycharacters of cocommutative Hopf algebras. Zbl 1006.16048
Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan
1
2002
Actions on algebras and applications. Zbl 1004.16032
Bahturin, Yuri
1
2001
Identities of special Jordan algebras with finite grading. Zbl 1027.17026
Bakhturin, Yu. A.; Zaitsev, M. V.
1
1998
Identities of algebras with actions of Hopf algebras. Zbl 0948.16017
Bahturin, Yuri
1
1998
On Lie algebras with wild automorphisms. Zbl 0837.17010
Bakhturin, Yuri; Shpilrain, Vladimir
1
1995
Residual finiteness of color Lie superalgebras. Zbl 0786.17005
Bakhturin, Yu. A.; Zaĭtsev, M. V.
1
1993
Distinguishing simple algebras by means of polynomial identities. Zbl 1435.17007
Bahturin, Yuri; Yasumura, Felipe
1
2019
Graded polynomial identities as identities of universal algebras. Zbl 1435.17006
Bahturin, Yuri; Yasumura, Felipe
1
2019
Gradings on classical central simple real Lie algebras. Zbl 1448.17031
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
7
2018
Classification of involutions on graded-division simple real algebras. Zbl 1417.16036
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
4
2018
Graded identities of simple real graded division algebras. Zbl 1420.16030
Bahturin, Yuri; Diniz, Diogo
2
2018
Graded division algebras over the field of real numbers. Zbl 1440.16049
Bahturin, Yuri; Zaicev, Mikhail
1
2018
Group gradings on the Lie and Jordan superalgebras \(Q(n)\). Zbl 1419.17034
Bahturin, Yuri; Dos Santos, Helen Samara; Hornhardt, Caio De Naday; Kochetov, Mikhail
2
2017
Simple graded division algebras over the field of real numbers. Zbl 1395.16046
Bahturin, Yuri; Zaicev, Mikhail
10
2016
Group gradings on filiform Lie algebras. Zbl 1400.17005
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
8
2016
Growth of subalgebras and subideals in free Lie algebras. Zbl 1311.17003
Bahturin, Yuri; Olshanskii, Alexander
1
2015
Group gradings on Lie algebras, with applications to geometry. I. Zbl 1354.17023
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
5
2014
Group gradings on Lie algebras and applications to geometry. II. Zbl 1354.17022
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
2
2014
Group gradings on finitary simple Lie algebras. Zbl 1257.17038
Bahturin, Yuri; Brešar, Matej; Kochetov, Mikhail
6
2012
Group gradings on free algebras of nilpotent varieties of algebras. Zbl 1374.16102
Bahturin, Yuri
4
2012
Lie superautomorphisms on associative algebras. II. Zbl 1257.16032
Bahturin, Yuri; Brešar, Matej; Špenko, Špela
1
2012
Filtrations and distortion in infinite-dimensional algebras. Zbl 1236.16039
Bahturin, Yuri; Olshanskii, Alexander
6
2011
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
3
2011
Group gradings on restricted Cartan-type Lie algebras. Zbl 1276.17015
Bahturin, Yuri; Kochetov, Mikhail
1
2011
Classification of group gradings on simple Lie algebras of types \(\mathcal A\), \(\mathcal B\), \(\mathcal C\) and \(\mathcal D\). Zbl 1229.17031
Bahturin, Yuri; Kochetov, Mikhail
25
2010
Actions of maximal growth. Zbl 1201.16024
Bahturin, Yuri; Olshanskii, Alexander
8
2010
Gradings on simple algebras of finitary matrices. Zbl 1259.16048
Bahturin, Yuri; Zaicev, Mikhail
5
2010
Lie superautomorphisms on associative algebras. Zbl 1221.16029
Bahturin, Yuri; Brešar, Matej
5
2010
Group gradings on \(G_2\). Zbl 1190.17005
Bahturin, Y. A.; Tvalavadze, M. V.
16
2009
Lie gradings on associative algebras. Zbl 1207.17037
Bahturin, Yuri; Brešar, Matej
12
2009
Group gradings on superinvolution simple superalgebras. Zbl 1173.16023
Bahturin, Yu.; Tvalavadze, M.; Tvalavadze, T.
10
2009
Group gradings on simple Lie algebras in positive characteristic. Zbl 1168.17016
Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan
9
2009
Graded tensor products. Zbl 1186.16013
Bahturin, Yuri; Regev, Amitai
5
2009
Group gradings on the Lie algebra \(\mathfrak{psl}_n\) in positive characteristic. Zbl 1185.17023
Bahturin, Yuri; Kochetov, Mikhail
3
2009
Commutation relations and Vandermonde determinants. Zbl 1168.15002
Bahturin, Yuri; Regev, Amitai; Zeilberger, Doron
1
2009
Finite-dimensional simple graded algebras. Zbl 1258.16046
Bahturin, Yu. A.; Zaicev, M. V.; Sehgal, S. K.
34
2008
Group gradings on associative algebras with involution. Zbl 1153.16040
Bahturin, Y. A.; Giambruno, A.
6
2008
\(Z_2\times Z_2\)-symmetric spaces. Zbl 1156.53030
Bahturin, Yuri; Goze, Michel
3
2008
Involutions on graded matrix algebras. Zbl 1129.16033
Bahturin, Yuri; Zaicev, Mikhail
15
2007
Large restricted Lie algebras. Zbl 1219.17014
Bahturin, Yuri; Olshanskii, Alexander
7
2007
Group gradings on simple Lie algebras of type “A”. Zbl 1141.17006
Bahturin, Yuri; Zaicev, Mikhail
18
2006
Semigroup gradings on associative rings. Zbl 1114.16038
Bahturin, Y. A.; Zaicev, M. V.
4
2006
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
3
2006
Group gradings on integral group rings. Zbl 1102.16026
Bahturin, Yuri A.; Parmenter, Michael M.
2
2006
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
50
2005
Identities of graded algebras and codimension growth. Zbl 1052.16014
Bahturin, Yu. A.; Zaicev, M. V.
23
2004
Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311
Bahturin, Yuri; Benkart, Georgia
5
2004
Simple Lie subalgebras of locally finite associative algebras. Zbl 1104.17014
Bahturin, Y. A.; Baranov, A. A.; Zalesski, A. E.
2
2004
Graded algebras and graded identities. Zbl 1053.16032
Bahturin, Yu. A.; Zaicev, M. V.
28
2003
Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019
Bahturin, Yu. A.; Drensky, V.
8
2003
Generalized Lie solvability of associative algebras. Zbl 1051.17018
Bahturin, Yuri; Montgomery, Susan; Zaicev, Mikhail
2
2003
Generalized commutativity in group algebras. Zbl 1032.16023
Bahturin, Yu. A.; Parmenter, M. M.
2
2003
Graded polynomial identities of matrices. Zbl 1019.16011
Bahturin, Yuri; Drensky, Vesselin
52
2002
Group gradings on matrix algebras. Zbl 1022.16032
Bahturin, Yu. A.; Zaicev, M. V.
45
2002
Polynomial identities in smash products. Zbl 1014.17006
Bahturin, Yuri; Petrogradsky, Victor
3
2002
Sums of simple and nilpotent Lie subalgebras. Zbl 1026.17011
Bahturin, Y.; Tvalavadze, M.; Tvalavadze, T.
1
2002
Polycharacters of cocommutative Hopf algebras. Zbl 1006.16048
Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan
1
2002
Group gradings on associative algebras. Zbl 0988.16033
Bahturin, Yu. A.; Sehgal, S. K.; Zaicev, M. V.
85
2001
Bicharacters, twistings, and Scheunert’s theorem for Hopf algebras. Zbl 0966.17017
Bahturin, Yuri; Fischman, Davida; Montgomery, Susan
12
2001
Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025
Bahturin, Yuri; Shestakov, Ivan
10
2001
Actions on algebras and applications. Zbl 1004.16032
Bahturin, Yuri
1
2001
Infinite-dimensional Lie superalgebras. Zbl 0970.17011
Bahturin, Yuri; Mikhalev, Alexander A.; Zaicev, Mikhail
22
2000
Codimension growth and graded identities. Zbl 0968.16007
Bahturin, Y.; Giambruno, A.; Zaicev, M.
3
2000
Identities of graded alternative algebras. Zbl 1006.17028
Bahturin, Y.; Zaicev, M.
2
2000
\(G\)-identities on associative algebras. Zbl 0910.16009
Bahturin, Y.; Giambruno, A.; Zaicev, M.
20
1999
PI-envelopes of Lie superalgebras. Zbl 1027.17024
Bahturin, Yuri; Montgomery, Susan
8
1999
\(G\)-identities of non-associative algebras. Zbl 0939.17002
Bakhturin, Yu. A.; Zaitsev, M. V.; Sehgal, S. K.
6
1999
On the Lie and associative codimensions growth. Zbl 0940.16013
Bahturin, Yuri; Mishchenko, Sergei; Regev, Amitai
4
1999
Sums of simple subalgebras. Zbl 0938.16009
Bahturin, Yu. A.; Kegel, O. H.
4
1999
Identities of graded algebras. Zbl 0920.16011
Bahturin, Yu. A.; Zaicev, M. V.
45
1998
Identities of algebras with actions of Hopf algebras. Zbl 0912.16009
Bahturin, Y. A.; Linchenko, V.
19
1998
Group-graded algebras with polynomial identity. Zbl 0920.16010
Bahturin, Yuri; Giambruno, Antonio; Riley, David M.
18
1998
Identities of special Jordan algebras with finite grading. Zbl 1027.17026
Bakhturin, Yu. A.; Zaitsev, M. V.
1
1998
Identities of algebras with actions of Hopf algebras. Zbl 0948.16017
Bahturin, Yuri
1
1998
Highest weight modules for locally finite Lie algebras. Zbl 0920.17011
Bakhturin, Yuri; Benkart, Georgia
9
1997
On the generalized Lie structure of associative algebras. Zbl 0874.16024
Bahturin, Y.; Fischman, D.; Montgomery, S.
17
1996
Some examples of locally finite simple Lie algebras. Zbl 0823.17007
Bahturin, Yu.; Strade, H.
16
1995
Universal sums of Abelian subalgebras. Zbl 0837.16020
Bahturin, Yuri; Kegel, O. H.
13
1995
On Lie algebras with wild automorphisms. Zbl 0837.17010
Bakhturin, Yuri; Shpilrain, Vladimir
1
1995
Identities of sums of commutative subalgebras. Zbl 0829.16014
Bahturin, Yuri; Giambruno, Antonio
10
1994
Locally finite-dimensional simple Lie algebras. Zbl 0829.17016
Bakhturin, Yu. A.; Strade, Helmut
2
1994
Cohomologies of certain Lie algebras with an abelian ideal. Zbl 0856.17023
Bakhturin, Yu. A.; Pagon, D.
3
1993
Basic structures of modern algebra. Translated from Russian by D. Žvirénaité. Zbl 0793.00001
Bahturin, Yuri
2
1993
Residual finiteness of color Lie superalgebras. Zbl 0786.17005
Bakhturin, Yu. A.; Zaĭtsev, M. V.
1
1993
Infinite dimensional Lie superalgebras. Zbl 0762.17001
Bakhturin, Yu. A.; Mikhalev, A. A.; Petrogradskiĭ, V. M.; Zaĭtsev, M. V.
10
1992
Automorphisms and derivations of abelian extensions of some Lie algebras. Zbl 0780.17020
Bakhturin, Yu. A.; Nabiev, S.
7
1992
Basic structures of modern algebra. Zbl 0707.00001
Bakhturin, Yu. A.
8
1990
Lie superalgebras with bounded dimensions of irreducible representations. Zbl 0675.17011
Bakhturin, Yu. A.
1
1989
Identities. Zbl 0673.16001
Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu.
3
1988
Identical relations in Lie algebras. Transl. from the Russian. Zbl 0691.17001
Bakhturin, Yu. A.
31
1987
Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014
Bakhturin, Yu. A.; Drensky, V. S.
2
1987
Identities of solvable color Lie superalgebras. Zbl 0658.17022
Bakhturin, Yu. A.; Drensky, V. S.
1
1987
Residual finiteness of solvable varieties of Lie algebras. Zbl 0629.17007
Bakhturin, Yu. A.; Semenov, K. N.
1
1986
Identities in Lie algebras. Zbl 0571.17001
Bakhturin, Yu. A.
56
1985
Identities of a universal enveloping algebra for a Lie superalgebra. Zbl 0579.17005
Bakhturin, Yu. A.
3
1985
Two-variable identities in the Lie algebra sl(2,k). Zbl 0664.17008
Bakhturin, Yu. A.
1
1985
On the structure of the PI-envelope of a finite dimensional Lie algebra. Zbl 0598.17005
Bakhturin, Yu. A.
1
1985
Artinian special Lie algebras. Zbl 0531.17006
Bakhturin, Yu. A.
1
1982
Special varieties of Lie algebras. Zbl 0496.17010
Bakhturin, Yu. A.
1
1982
Nonassociative rings. Zbl 0486.17001
Bakhturin, Yu. A.; Slin’ko, A. M.; Shestakov, I. P.
2
1981
On Lie subalgebras of associative PI-algebras. Zbl 0453.16009
Bahturin, Yuri
3
1980
On special Lie algebras. Zbl 0489.17006
Bakhturin, Yu. A.
2
1980
On identical relations in free polynilpotent Lie algebras. Zbl 0414.17008
Bahturin, Yuri
25
1979
2-variable identities of the Lie algebra \(\text{sl}(2,k)\). Zbl 0432.17008
Bakhturin, Yu. A.
3
1979
A remark on irreducible representations of Lie algebras. Zbl 0403.17008
Bahturin, Ju. A.
3
1979
On homomorphisms of soluble Lie algebras. Zbl 0432.17007
Bahturin, Yuri
2
1979
...and 12 more Documents
all top 5

Cited by 433 Authors

52 Bahturin, Yuri
50 Zaĭtsev, Mikhail Vladimirovich
28 Giambruno, Antonio
25 Kochetov, Mikhail Viktorovich
18 Calderón Martín, Antonio Jesús
16 Koshlukov, Plamen Emilov
15 Gordienko, Alekseĭ Sergeevich
14 Repovš, Dušan D.
14 Shumyatsky, Pavel
13 Elduque, Alberto
13 Mishchenko, Sergeĭ Petrovich
13 Petrogradsky, Victor Mikhaylovich
12 Aljadeff, Eli
12 Di Vincenzo, Onofrio Mario
12 Ratseev, Sergej Mikhaijlovich
12 Shestakov, Ivan Pavlovich
11 Draper, Cristina
10 Brešar, Matej
10 Diniz Pereira da Silva e Silva, Diogo
9 Drensky, Vesselin
9 Yasumura, Felipe Yukihide
8 Koreshkov, Nikolai A.
8 La Mattina, Daniela
8 Martín González, Cándido
8 Ol’shanskiĭ, Aleksandr Yur’evich
7 Acciarri, Cristina
7 Dăscălescu, Sorin
7 Ioppolo, Antonio
7 Valenti, Angela
6 Baranov, Alexander A.
6 Bokut, Leonid A.
6 Centrone, Lucio
6 Kepczyk, Marek
6 Martino, Fabrizio
6 Montgomery, Susan
6 Tvalavadze, Marina V.
5 Bergen, Jeffrey
5 Khukhro, Evgenii I.
5 Stöhr, Ralph
5 Usefi, Hamid
5 Wang, Yu
4 Gonçalves Fonseca, Luís Felipe
4 Grzeszczuk, Piotr
4 Haile, Darrell E.
4 Krasilnikov, Alexei N.
4 Lee, Edmond W. H.
4 Mikhalëv, Aleksandr Vasil’evich
4 Mikhalëv, Aleksandr Aleksandrovich
4 Nardozza, Vincenzo
4 Natapov, Michael
4 Rodrigo-Escudero, Adrián
4 Sánchez Delgado, José María
4 Schnabel, Ofir
4 Siciliano, Salvatore
4 Souza, Manuela da Silva
4 Strade, Helmut
4 Wang, Shuanhong
3 Balaba, Irina Nikolaevna
3 Bezushchak, Oksana O.
3 Billig, Yuly
3 Boboc, Crina
3 Castilho de Mello, Thiago
3 Chen, Liangyun
3 Chen, Yuqun
3 Cirrito, Alessio
3 David, Ofir
3 Fischman, Davida
3 Freitas, José António
3 Frolova, Yu. Yu.
3 Gonçalves, Dimas José
3 Kanel’-Belov, Alekseĭ Yakovlevich
3 Kang, Seok-Jin
3 Kharchenko, Vladislav K.
3 Kruglov, I. A.
3 Passman, Donald Steven
3 Pikhtilkov, Sergeĭ Alekseevich
3 Price, Kenneth L.
3 Regev, Amitai
3 Ribeiro Tomaz da Silva, Viviane
3 Riley, David Michael
3 Sanção da Silveira, Danilo
3 Tvalavadze, T. V.
3 Volkov, Mikhail Vladimirovich
3 Zel’manov, Efim Isaakovich
3 Zhang, Wen Ting
3 Zubkov, Alexandr N.
2 Agalakov, S. A.
2 Agore, Ana-Loredana
2 Albeverio, Sergio A.
2 Allison, Bruce N.
2 Aqué, Stefania
2 Beidar, Konstantin Igorevich
2 Benkart, Georgia M.
2 Berman, Stephen
2 Bernik, Janez
2 Beşleagă, F.
2 Castillo, John Hermes
2 Cherevatenko, Ol’ga Ivanovna
2 de Souza Lima, Aline
2 Domrin, Andrei Victorovich
...and 333 more Authors
all top 5

Cited in 101 Serials

122 Journal of Algebra
57 Communications in Algebra
28 Linear Algebra and its Applications
25 Journal of Pure and Applied Algebra
24 Mathematical Notes
22 Israel Journal of Mathematics
18 Transactions of the American Mathematical Society
18 Journal of Mathematical Sciences (New York)
17 Algebras and Representation Theory
16 Proceedings of the American Mathematical Society
14 International Journal of Algebra and Computation
13 Algebra and Logic
13 Siberian Mathematical Journal
11 Linear and Multilinear Algebra
11 Russian Mathematics
9 Advances in Mathematics
9 Journal of Algebra and its Applications
7 Moscow University Mathematics Bulletin
6 Journal of Mathematical Physics
6 Algebra Colloquium
5 Rendiconti del Circolo Matemàtico di Palermo. Serie II
5 São Paulo Journal of Mathematical Sciences
4 Advances in Applied Mathematics
4 Revista Matemática Iberoamericana
4 Chebyshevskiĭ Sbornik
3 Archiv der Mathematik
3 Geometriae Dedicata
3 Journal of Soviet Mathematics
3 Results in Mathematics
3 Forum Mathematicum
3 Discrete Mathematics and Applications
3 Groups, Geometry, and Dynamics
2 Communications in Mathematical Physics
2 Theoretical and Mathematical Physics
2 Ukrainian Mathematical Journal
2 Beiträge zur Algebra und Geometrie
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Glasgow Mathematical Journal
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Acta Applicandae Mathematicae
2 Science in China. Series A
2 Applied Categorical Structures
2 Advances in Applied Clifford Algebras
2 Journal of Lie Theory
2 Doklady Mathematics
2 Acta Mathematica Sinica. English Series
2 Mediterranean Journal of Mathematics
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
1 Modern Physics Letters A
1 Bulletin of the Australian Mathematical Society
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Journal of Geometry and Physics
1 Algebra Universalis
1 Annales de l’Institut Fourier
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Revista Colombiana de Matemáticas
1 European Journal of Combinatorics
1 Acta Mathematica Hungarica
1 Annals of Pure and Applied Logic
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Finite Fields and their Applications
1 Bulletin des Sciences Mathématiques
1 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
1 Sbornik: Mathematics
1 Journal of Group Theory
1 Matematicheskie Trudy
1 LMS Journal of Computation and Mathematics
1 Journal of the Australian Mathematical Society
1 Portugaliae Mathematica. Nova Série
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 International Journal of Geometric Methods in Modern Physics
1 Sarajevo Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Frontiers of Mathematics in China
1 Journal of Noncommutative Geometry
1 Electronic Research Announcements in Mathematical Sciences
1 Asian-European Journal of Mathematics
1 Journal of Topology and Analysis
1 Bulletin of Mathematical Sciences
1 ISRN Algebra
1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
1 Axioms
1 Algebra
...and 1 more Serials

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