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Author ID: bahturin.yuri-a Recent zbMATH articles by "Bahturin, Yuri"
Published as: Bahturin, Yuri; Bakhturin, Yu. A.; Bahturin, Yu. A.; Bahturin, Ju. A.; Bahturin, Y. A.; Bahturin, Y.; Bakhturin, Yuri; Bahturin, Yu.; Bakhturin, Yuri A.; Bahturin, Juri A.; Bahturin, Yuri A.; Bakhturīn, Yu. O.
Further Spellings: Бахтурин Юрий Александрович
Homepage: https://www.mun.ca/math/people/ppl-faculty/yuri.php
External Links: MGP · Math-Net.Ru · dblp · GND
all top 5

Co-Authors

44 single-authored
28 Zaĭtsev, Mikhail Vladimirovich
15 Ol’shanskiĭ, Aleksandr Yur’evich
14 Kochetov, Mikhail Viktorovich
7 Montgomery, Susan
6 Giambruno, Antonio
6 Shestakov, Ivan Pavlovich
5 Brešar, Matej
5 Golod, Evgeniĭ Solomonovich
5 Goze, Michel
4 Artamonov, Vyacheslav Aleksandrovich
4 Drensky, Vesselin
4 Gamkrelidze, Revaz Valerianovich
4 Parmenter, Michael M.
4 Sehgal, Sudarshan Kumar
3 Mikhalëv, Aleksandr Aleksandrovich
3 Regev, Amitai
3 Remm, Elisabeth
3 Shihadeh, Abdallah
3 Tvalavadze, Marina V.
3 Vinberg, Èrnest Borisovich
2 Benkart, Georgia McClure
2 Chubarov, Igor A.
2 Fischman, Davida
2 Kegel, Otto H.
2 Kostrikin, Alekseĭ Ivanovich
2 Mikhalëv, Aleksandr Vasil’evich
2 Petrogradsky, Victor Mikhaylovich
2 Rodrigo-Escudero, Adrián
2 Strade, Helmut
2 Tvalavadze, T. V.
2 Yasumura, Felipe Yukihide
1 Adrianov, Nikolai M.
1 Balaba, Irina Nikolaevna
1 Baranov, Alexander A.
1 Bokut, Leonid A.
1 Borisenko, Vladimir V.
1 Bunina, Elena Igor’evna
1 Diniz Pereira da Silva e Silva, Diogo
1 Dos Santos, Helen Samara
1 Dubrovin, Nikolaĭ Ivanovich
1 Elduque, Alberto
1 Faddeev, Lyudvig Dmitrievich
1 Gaifullin, Sergey A.
1 Glavatskiĭ, Sergeĭ Timofeevich
1 Golubchik, Igor Z.
1 González, Santos
1 Grishin, Aleksandr V.
1 Guterman, Alexander Èmilevich
1 Hornhardt, Caio De Naday
1 Ilyina, N. K.
1 Iskovskikh, Vasiliĭ Alekseevich
1 Kanel’-Belov, Alekseĭ Yakovlevich
1 Kanunnikov, Andrei Leonidovich
1 Karatsuba, Anatoliĭ Alekseevich
1 Kharchenko, Vladislav K.
1 Kislitsyn, E. S.
1 Klyachko, Anton Aleksandrovich
1 Kozhukhov, Igor’ Borisovich
1 Kreĭnes, Elena M.
1 Kulikova, O. V.
1 Latyshev, Viktor Nikolaevich
1 Linchenko, V.
1 Lukashenko, Taras P.
1 Lyndon, Roger C.
1 Mardzhanishvili, Konstantin Konstantinovich
1 Markova, Olga V.
1 Martínez López, Consuelo
1 McGraw, Jason
1 Mishchenko, Evgeniĭ Frolovich
1 Mishchenko, Sergeĭ Petrovich
1 Molev, Alexander I.
1 Nabiev, S. Zh.
1 Pchelintsev, Sergeĭ Valentinovich
1 Pentus, Anna Evgen’evna
1 Petrov, A. V.
1 Prokhorov, Yuriĭ Gennad’evich
1 Riley, David Michael
1 Sakhaev, Iskhak I.
1 Schupp, Paul E.
1 Semenov, K. N.
1 Shafarevich, Andreĭ Igorevich
1 Shafarevich, Anton A.
1 Shirshova, Elena Evgen’evna
1 Shmel’kin, Al’fred L’vovich
1 Shpilrain, V. E.
1 Shpilrain, Vladimir
1 Skryabin, S. M.
1 Slinko, Arkadii M.
1 Špenko, Špela
1 Tenzina, V. V.
1 Timashev, Dmitri A.
1 Tronin, Serge N.
1 Tuganbaev, Askar Akanovich
1 Tumaykin, I. N.
1 Vinogradov, Ivan Matveevich
1 Witherspoon, Sarah J.
1 Yanson, I. A.
1 Zalesski, Alexandre Efimovich
1 Zeilberger, Doron
1 Zel’manov, Efim Isaakovich
...and 1 more Co-Authors
all top 5

Serials

18 Journal of Algebra
11 Communications in Algebra
6 Linear Algebra and its Applications
5 Journal of Mathematical Sciences (New York)
4 Moscow University Mathematics Bulletin
4 Canadian Mathematical Bulletin
4 Proceedings of the American Mathematical Society
4 Mathematics of the USSR, Sbornik
3 Matematicheskiĭ Sbornik. Novaya Seriya
3 Journal of Lie Theory
3 Algebras and Representation Theory
3 Journal of Algebra and its Applications
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 De Gruyter Expositions in Mathematics
2 Mathematics and its Applications (Dordrecht)
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 Journal of the Australian Mathematical Society. Series A
1 Serdica
1 Matematicheskiĭ Sbornik
1 Russian Academy of Sciences. Sbornik. Mathematics
1 Turkish Journal of Mathematics
1 Serdica Mathematical Journal
1 Matemática Contemporânea
1 Visnyk Kyïvs’kogo Universytetu. Matematyka i Mekhanika
1 Czechoslovak Journal of Physics
1 Journal of the Australian Mathematical Society
1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
1 São Paulo Journal of Mathematical Sciences
1 Springer Collected Works in Mathematics

Publications by Year

Citations contained in zbMATH Open

122 Publications have been cited 1,332 times in 761 Documents Cited by Year
Group gradings on associative algebras. Zbl 0988.16033
Bahturin, Yu. A.; Sehgal, S. K.; Zaicev, M. V.
108
2001
Identical relations in Lie algebras. Transl. from the Russian. Zbl 0691.17001
Bakhturin, Yu. A.
70
1987
Gradings on simple Jordan and Lie algebras. Zbl 1066.17018
Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V.
64
2005
Identities in Lie algebras. (Тождества в алгебрах Ли.) Zbl 0571.17001
Bakhturin, Yu. A.
64
1985
Graded polynomial identities of matrices. Zbl 1019.16011
Bahturin, Yuri; Drensky, Vesselin
63
2002
Group gradings on matrix algebras. Zbl 1022.16032
Bahturin, Yu. A.; Zaicev, M. V.
61
2002
Identities of graded algebras. Zbl 0920.16011
Bahturin, Yu. A.; Zaicev, M. V.
49
1998
Finite-dimensional simple graded algebras. Zbl 1258.16046
Bahturin, Yu. A.; Zaicev, M. V.; Sehgal, S. K.
45
2008
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
33
2010
Graded algebras and graded identities. Zbl 1053.16032
Bahturin, Yu. A.; Zaicev, M. V.
32
2003
Infinite dimensional Lie superalgebras. Zbl 0762.17001
Bakhturin, Yu. A.; Mikhalev, A. A.; Petrogradskiĭ, V. M.; Zaĭtsev, M. V.
31
1992
Combinatorial group theory. (Kombinatornaya teoriya grupp). Transl. from the English by Yu. A. Bakhturin. Zbl 0544.20031
Lyndon, Roger C.; Schupp, Paul E.
28
1980
\(G\)-identities on associative algebras. Zbl 0910.16009
Bahturin, Y.; Giambruno, A.; Zaicev, M.
27
1999
Group-graded algebras with polynomial identity. Zbl 0920.16010
Bahturin, Yuri; Giambruno, Antonio; Riley, David M.
25
1998
Identities of graded algebras and codimension growth. Zbl 1052.16014
Bahturin, Yu. A.; Zaicev, M. V.
25
2004
Identities of algebras with actions of Hopf algebras. Zbl 0912.16009
Bahturin, Y. A.; Linchenko, V.
24
1998
Group gradings on \(G_2\). Zbl 1190.17005
Bahturin, Y. A.; Tvalavadze, M. V.
23
2009
Group gradings on simple Lie algebras of type “A”. Zbl 1141.17006
Bahturin, Yuri; Zaicev, Mikhail
22
2006
On the generalized Lie structure of associative algebras. Zbl 0874.16024
Bahturin, Y.; Fischman, D.; Montgomery, S.
21
1996
Infinite-dimensional Lie superalgebras. Zbl 0970.17011
Bahturin, Yuri; Mikhalev, Alexander A.; Zaicev, Mikhail
21
2000
On identical relations in free polynilpotent Lie algebras. Zbl 0414.17008
Bahturin, Yuri
20
1979
Involutions on graded matrix algebras. Zbl 1129.16033
Bahturin, Yuri; Zaicev, Mikhail
17
2007
Simple graded division algebras over the field of real numbers. Zbl 1395.16046
Bahturin, Yuri; Zaicev, Mikhail
16
2016
Lie gradings on associative algebras. Zbl 1207.17037
Bahturin, Yuri; Brešar, Matej
14
2009
Some examples of locally finite simple Lie algebras. Zbl 0823.17007
Bahturin, Yu.; Strade, H.
14
1995
Basic structures of modern algebra. (Основные структуры современнойалгебры.) Zbl 0707.00001
Bakhturin, Yu. A.
14
1990
Identities of sums of commutative subalgebras. Zbl 0829.16014
Bahturin, Yuri; Giambruno, Antonio
13
1994
Universal sums of Abelian subalgebras. Zbl 0837.16020
Bahturin, Yuri; Kegel, O. H.
13
1995
Bicharacters, twistings, and Scheunert’s theorem for Hopf algebras. Zbl 0966.17017
Bahturin, Yuri; Fischman, Davida; Montgomery, Susan
12
2001
Identical relations in finite Lie rings. Zbl 0332.17005
Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu.
12
1976
Lectures on Lie algebras. Lectures given at Humbolt University Berlin and Lomonosov University Moscow. Zbl 0396.17006
Bahturin, Ju. A.
11
1978
Group gradings on superinvolution simple superalgebras. Zbl 1173.16023
Bahturin, Yu.; Tvalavadze, M.; Tvalavadze, T.
11
2009
Large restricted Lie algebras. Zbl 1219.17014
Bahturin, Yuri; Olshanskii, Alexander
11
2007
Identical relations in Lie algebras. 2nd edition. Zbl 1487.17001
Bahturin, Yuri
11
2021
Group gradings on filiform Lie algebras. Zbl 1400.17005
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
11
2016
Gradings on classical central simple real Lie algebras. Zbl 1448.17031
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
11
2018
Automorphisms and derivations of abelian extensions of some Lie algebras. Zbl 0780.17020
Bakhturin, Yu. A.; Nabiev, S.
10
1992
Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025
Bahturin, Yuri; Shestakov, Ivan
10
2001
Group gradings on simple Lie algebras in positive characteristic. Zbl 1168.17016
Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan
9
2009
Identities in the universal envelopes of Lie algebras. Zbl 0298.17013
Bakhturin, Yu. A.
9
1974
Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019
Bahturin, Yu. A.; Drensky, V.
9
2003
PI-envelopes of Lie superalgebras. Zbl 1027.17024
Bahturin, Yuri; Montgomery, Susan
8
1999
Highest weight modules for locally finite Lie algebras. Zbl 0920.17011
Bakhturin, Yuri; Benkart, Georgia
8
1997
\(G\)-identities of non-associative algebras. Zbl 0939.17002
Bakhturin, Yu. A.; Zaitsev, M. V.; Sehgal, S. K.
8
1999
Actions of maximal growth. Zbl 1201.16024
Bahturin, Yuri; Olshanskii, Alexander
8
2010
Group gradings on associative algebras with involution. Zbl 1153.16040
Bahturin, Y. A.; Giambruno, A.
7
2008
Identical relations in finite Lie rings. Zbl 0319.17004
Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu.
7
1975
Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311
Bahturin, Yuri; Benkart, Georgia
7
2004
Group gradings on finitary simple Lie algebras. Zbl 1257.17038
Bahturin, Yuri; Brešar, Matej; Kochetov, Mikhail
7
2012
Lie superautomorphisms on associative algebras. Zbl 1221.16029
Bahturin, Yuri; Brešar, Matej
7
2010
Sums of simple subalgebras. Zbl 0938.16009
Bahturin, Yu. A.; Kegel, O. H.
6
1999
Simple Lie subalgebras of locally finite associative algebras. Zbl 1104.17014
Bahturin, Y. A.; Baranov, A. A.; Zalesski, A. E.
6
2004
Classification of involutions on graded-division simple real algebras. Zbl 1417.16036
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
6
2018
Graded polynomial identities as identities of universal algebras. Zbl 1435.17006
Bahturin, Yuri; Yasumura, Felipe
6
2019
\(Z_2\times Z_2\)-symmetric spaces. Zbl 1156.53030
Bahturin, Yuri; Goze, Michel
5
2008
Polynomial identities in smash products. Zbl 1014.17006
Bahturin, Yuri; Petrogradsky, Victor
5
2002
Graded tensor products. Zbl 1186.16013
Bahturin, Yuri; Regev, Amitai
5
2009
Distinguishing simple algebras by means of polynomial identities. Zbl 1435.17007
Bahturin, Yuri; Yasumura, Felipe
5
2019
Graded division algebras over the field of real numbers. Zbl 1440.16049
Bahturin, Yuri; Zaicev, Mikhail
5
2018
Gradings on simple algebras of finitary matrices. Zbl 1259.16048
Bahturin, Yuri; Zaicev, Mikhail
5
2010
Filtrations and distortion in infinite-dimensional algebras. Zbl 1236.16039
Bahturin, Yuri; Olshanskii, Alexander
5
2011
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
5
2011
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
On Lie subalgebras of associative PI-algebras. Zbl 0453.16009
Bahturin, Yuri
4
1980
Identities. Zbl 0673.16001
Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu.
4
1988
A remark on irreducible representations of Lie algebras. Zbl 0403.17008
Bahturin, Ju. A.
4
1979
Group gradings on associative superalgebras. Zbl 1154.16305
Bahturin, Y. A.; Shestakov, I. P.
4
2006
On identities in Lie algebras. I. Zbl 0258.17007
Bahturin, Ju. A.
4
1973
Identities of a universal enveloping algebra for a Lie superalgebra. Zbl 0579.17005
Bakhturin, Yu. A.
4
1985
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
3
2012
Basic structures of modern algebra. Translated from Russian by D. Žvirénaité. Zbl 0793.00001
Bahturin, Yuri
3
1993
Cohomologies of certain Lie algebras with an abelian ideal. Zbl 0856.17023
Bakhturin, Yu. A.; Pagon, D.
3
1993
2-variable identities of the Lie algebra \(\text{sl}(2,k)\). Zbl 0432.17008
Bakhturin, Yu. A.
3
1979
Codimension growth and graded identities. Zbl 0968.16007
Bahturin, Y.; Giambruno, A.; Zaicev, M.
3
2000
Group gradings on the Lie algebra \(\mathfrak{psl}_n\) in positive characteristic. Zbl 1185.17023
Bahturin, Yuri; Kochetov, Mikhail
3
2009
Locally finite-dimensional simple Lie algebras. Zbl 0829.17016
Bakhturin, Yu. A.; Strade, Helmut
3
1994
On nonassociative graded-simple algebras over the field of real numbers. Zbl 1429.17006
Bahturin, Yuri; Kochetov, Mikhail
3
2019
Two remarks on varieties of Lie algebras. Zbl 0186.34304
Bakhturin, Yu. A.
3
1968
Group gradings on Lie algebras, with applications to geometry. I. Zbl 1354.17023
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
3
2014
Graded identities of simple real graded division algebras. Zbl 1420.16030
Bahturin, Yuri; Diniz, Diogo
3
2018
Growth of subalgebras and subideals in free Lie algebras. Zbl 1311.17003
Bahturin, Yuri; Olshanskii, Alexander
3
2015
Artinian special Lie algebras. Zbl 0531.17006
Bakhturin, Yu. A.
3
1982
Group gradings on integral group rings. Zbl 1102.16026
Bahturin, Yuri A.; Parmenter, Michael M.
2
2006
Sums of simple and nilpotent Lie subalgebras. Zbl 1026.17011
Bahturin, Y.; Tvalavadze, M.; Tvalavadze, T.
2
2002
Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014
Bakhturin, Yu. A.; Drensky, V. S.
2
1987
Simple Lie algebras satisfying a nontrivial identity. Zbl 0357.17013
Bahturin, Juri A.
2
1976
On homomorphisms of soluble Lie algebras. Zbl 0432.17007
Bahturin, Yuri
2
1979
Identities of algebras with actions of Hopf algebras. Zbl 0948.16017
Bahturin, Yuri
2
1998
Identities of graded alternative algebras. Zbl 1006.17028
Bahturin, Y.; Zaicev, M.
2
2000
Identities in Lie algebras. I. Zbl 0268.17004
Bahturin, Ju. A.
2
1973
Generalized commutativity in group algebras. Zbl 1032.16023
Bahturin, Yu. A.; Parmenter, M. M.
2
2003
Generalized Lie solvability of associative algebras. Zbl 1051.17018
Bahturin, Yuri; Montgomery, Susan; Zaicev, Mikhail
2
2003
On the structure of the PI-envelope of a finite dimensional Lie algebra. Zbl 0598.17005
Bakhturin, Yu. A.
2
1985
A collection of problems on algebra. Vol. I: Foundations of algebra. Ed. by A. I. Kostrikin. (Сборник задач по алгебре. Вып. И: Основы алгебры.) Zbl 0616.00001
Artamonov, V. A.; Bakhturin, Yu. A.; Vinberg, È. B.
2
1983
Group gradings on Lie algebras and applications to geometry. II. Zbl 1354.17022
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
2
2014
Graded-division algebras over arbitrary fields. Zbl 1472.16042
Bahturin, Yuri; Elduque, Alberto; Kochetov, Mikhail
2
2021
Group gradings and actions of pointed Hopf algebras. Zbl 1480.16061
Bahturin, Yuri; Montgomery, Susan
2
2021
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
Identical relations in Lie algebras. 2nd edition. Zbl 1487.17001
Bahturin, Yuri
11
2021
Graded-division algebras over arbitrary fields. Zbl 1472.16042
Bahturin, Yuri; Elduque, Alberto; Kochetov, Mikhail
2
2021
Group gradings and actions of pointed Hopf algebras. Zbl 1480.16061
Bahturin, Yuri; Montgomery, Susan
2
2021
Graded polynomial identities as identities of universal algebras. Zbl 1435.17006
Bahturin, Yuri; Yasumura, Felipe
6
2019
Distinguishing simple algebras by means of polynomial identities. Zbl 1435.17007
Bahturin, Yuri; Yasumura, Felipe
5
2019
On nonassociative graded-simple algebras over the field of real numbers. Zbl 1429.17006
Bahturin, Yuri; Kochetov, Mikhail
3
2019
Graded modules over simple Lie algebras. Zbl 1469.17030
Bahturin, Yuri; Kochetov, Mikhail; Shihadeh, Abdallah
2
2019
Gradings on classical central simple real Lie algebras. Zbl 1448.17031
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
11
2018
Classification of involutions on graded-division simple real algebras. Zbl 1417.16036
Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián
6
2018
Graded division algebras over the field of real numbers. Zbl 1440.16049
Bahturin, Yuri; Zaicev, Mikhail
5
2018
Graded identities of simple real graded division algebras. Zbl 1420.16030
Bahturin, Yuri; Diniz, Diogo
3
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
16
2016
Group gradings on filiform Lie algebras. Zbl 1400.17005
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
11
2016
Growth of subalgebras and subideals in free Lie algebras. Zbl 1311.17003
Bahturin, Yuri; Olshanskii, Alexander
3
2015
Gradings by groups on Cartan type Lie algebras. Zbl 1377.17021
Bahturin, Yuri; Kochetov, Mikhail; McGraw, Jason
1
2015
Group gradings on Lie algebras, with applications to geometry. I. Zbl 1354.17023
Bahturin, Yuri; Goze, Michel; Remm, Elisabeth
3
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
7
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
3
2012
Filtrations and distortion in infinite-dimensional algebras. Zbl 1236.16039
Bahturin, Yuri; Olshanskii, Alexander
5
2011
Jordan gradings on associative algebras. Zbl 1237.16040
Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan
5
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
33
2010
Actions of maximal growth. Zbl 1201.16024
Bahturin, Yuri; Olshanskii, Alexander
8
2010
Lie superautomorphisms on associative algebras. Zbl 1221.16029
Bahturin, Yuri; Brešar, Matej
7
2010
Gradings on simple algebras of finitary matrices. Zbl 1259.16048
Bahturin, Yuri; Zaicev, Mikhail
5
2010
Group gradings on \(G_2\). Zbl 1190.17005
Bahturin, Y. A.; Tvalavadze, M. V.
23
2009
Lie gradings on associative algebras. Zbl 1207.17037
Bahturin, Yuri; Brešar, Matej
14
2009
Group gradings on superinvolution simple superalgebras. Zbl 1173.16023
Bahturin, Yu.; Tvalavadze, M.; Tvalavadze, T.
11
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.
45
2008
Group gradings on associative algebras with involution. Zbl 1153.16040
Bahturin, Y. A.; Giambruno, A.
7
2008
\(Z_2\times Z_2\)-symmetric spaces. Zbl 1156.53030
Bahturin, Yuri; Goze, Michel
5
2008
Involutions on graded matrix algebras. Zbl 1129.16033
Bahturin, Yuri; Zaicev, Mikhail
17
2007
Large restricted Lie algebras. Zbl 1219.17014
Bahturin, Yuri; Olshanskii, Alexander
11
2007
Group gradings on simple Lie algebras of type “A”. Zbl 1141.17006
Bahturin, Yuri; Zaicev, Mikhail
22
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.
4
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.
64
2005
Identities of graded algebras and codimension growth. Zbl 1052.16014
Bahturin, Yu. A.; Zaicev, M. V.
25
2004
Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311
Bahturin, Yuri; Benkart, Georgia
7
2004
Simple Lie subalgebras of locally finite associative algebras. Zbl 1104.17014
Bahturin, Y. A.; Baranov, A. A.; Zalesski, A. E.
6
2004
Casimir elements for some graded Lie algebras and superalgebras. Zbl 1465.17024
Bahturin, Yuri; Molev, Alexander
2
2004
Graded algebras and graded identities. Zbl 1053.16032
Bahturin, Yu. A.; Zaicev, M. V.
32
2003
Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019
Bahturin, Yu. A.; Drensky, V.
9
2003
Generalized commutativity in group algebras. Zbl 1032.16023
Bahturin, Yu. A.; Parmenter, M. M.
2
2003
Generalized Lie solvability of associative algebras. Zbl 1051.17018
Bahturin, Yuri; Montgomery, Susan; Zaicev, Mikhail
2
2003
Graded polynomial identities of matrices. Zbl 1019.16011
Bahturin, Yuri; Drensky, Vesselin
63
2002
Group gradings on matrix algebras. Zbl 1022.16032
Bahturin, Yu. A.; Zaicev, M. V.
61
2002
Polynomial identities in smash products. Zbl 1014.17006
Bahturin, Yuri; Petrogradsky, Victor
5
2002
Sums of simple and nilpotent Lie subalgebras. Zbl 1026.17011
Bahturin, Y.; Tvalavadze, M.; Tvalavadze, T.
2
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.
108
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
21
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.
27
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.
8
1999
Sums of simple subalgebras. Zbl 0938.16009
Bahturin, Yu. A.; Kegel, O. H.
6
1999
On the Lie and associative codimensions growth. Zbl 0940.16013
Bahturin, Yuri; Mishchenko, Sergei; Regev, Amitai
4
1999
Identities of graded algebras. Zbl 0920.16011
Bahturin, Yu. A.; Zaicev, M. V.
49
1998
Group-graded algebras with polynomial identity. Zbl 0920.16010
Bahturin, Yuri; Giambruno, Antonio; Riley, David M.
25
1998
Identities of algebras with actions of Hopf algebras. Zbl 0912.16009
Bahturin, Y. A.; Linchenko, V.
24
1998
Identities of algebras with actions of Hopf algebras. Zbl 0948.16017
Bahturin, Yuri
2
1998
Identities of special Jordan algebras with finite grading. Zbl 1027.17026
Bakhturin, Yu. A.; Zaitsev, M. V.
1
1998
Highest weight modules for locally finite Lie algebras. Zbl 0920.17011
Bakhturin, Yuri; Benkart, Georgia
8
1997
On the generalized Lie structure of associative algebras. Zbl 0874.16024
Bahturin, Y.; Fischman, D.; Montgomery, S.
21
1996
Some examples of locally finite simple Lie algebras. Zbl 0823.17007
Bahturin, Yu.; Strade, H.
14
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
13
1994
Locally finite-dimensional simple Lie algebras. Zbl 0829.17016
Bakhturin, Yu. A.; Strade, Helmut
3
1994
Basic structures of modern algebra. Translated from Russian by D. Žvirénaité. Zbl 0793.00001
Bahturin, Yuri
3
1993
Cohomologies of certain Lie algebras with an abelian ideal. Zbl 0856.17023
Bakhturin, Yu. A.; Pagon, D.
3
1993
Residual finiteness of color Lie superalgebras. Zbl 0786.17005
Bakhturin, Yu. A.; Zaĭtsev, M. V.
2
1993
Infinite dimensional Lie superalgebras. Zbl 0762.17001
Bakhturin, Yu. A.; Mikhalev, A. A.; Petrogradskiĭ, V. M.; Zaĭtsev, M. V.
31
1992
Automorphisms and derivations of abelian extensions of some Lie algebras. Zbl 0780.17020
Bakhturin, Yu. A.; Nabiev, S.
10
1992
Identities. Zbl 0725.16002
Bakhturin, Yu. A.; Ol’shanskij, A. Yu.
1
1991
Basic structures of modern algebra. (Основные структуры современнойалгебры.) Zbl 0707.00001
Bakhturin, Yu. A.
14
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.
4
1988
Identical relations in Lie algebras. Transl. from the Russian. Zbl 0691.17001
Bakhturin, Yu. A.
70
1987
Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014
Bakhturin, Yu. A.; Drensky, V. S.
2
1987
A collection of problems on algebra. Textbook. Ed. by A. I. Kostrikin. (Сборник задач по алгебре. Учебное пособие.) Zbl 0626.00003
Artamonov, V. A.; Bakhturin, Yu. A.; Vinberg, È. B.; Golod, E. S.
1
1987
Residual finiteness of solvable varieties of Lie algebras. Zbl 0629.17007
Bakhturin, Yu. A.; Semenov, K. N.
2
1986
Identities in Lie algebras. (Тождества в алгебрах Ли.) Zbl 0571.17001
Bakhturin, Yu. A.
64
1985
Identities of a universal enveloping algebra for a Lie superalgebra. Zbl 0579.17005
Bakhturin, Yu. A.
4
1985
On the structure of the PI-envelope of a finite dimensional Lie algebra. Zbl 0598.17005
Bakhturin, Yu. A.
2
1985
Two-variable identities in the Lie algebra sl(2,k). Zbl 0664.17008
Bakhturin, Yu. A.
1
1985
A collection of problems on algebra. Vol. I: Foundations of algebra. Ed. by A. I. Kostrikin. (Сборник задач по алгебре. Вып. И: Основы алгебры.) Zbl 0616.00001
Artamonov, V. A.; Bakhturin, Yu. A.; Vinberg, È. B.
2
1983
...and 22 more Documents
all top 5

Cited by 543 Authors

59 Bahturin, Yuri
55 Zaĭtsev, Mikhail Vladimirovich
30 Giambruno, Antonio
29 Koshlukov, Plamen Emilov
28 Kochetov, Mikhail Viktorovich
22 Calderón Martín, Antonio Jesús
19 Petrogradsky, Victor Mikhaylovich
18 Diniz Pereira da Silva e Silva, Diogo
18 Elduque, Alberto
17 Gordienko, Alekseĭ Sergeevich
16 Repovš, Dušan D.
15 Aljadeff, Eli
15 Shumyatsky, Pavel
14 Di Vincenzo, Onofrio Mario
14 Shestakov, Ivan Pavlovich
13 Draper, Cristina
12 Centrone, Lucio
12 Valenti, Angela
11 Drensky, Vesselin
11 La Mattina, Daniela
11 Mishchenko, Sergeĭ Petrovich
11 Yasumura, Felipe Yukihide
10 Brešar, Matej
9 Fidelis, Claudemir
9 Ioppolo, Antonio
9 Martín González, Cándido
8 Castilho de Mello, Thiago
8 Kępczyk, Marek
8 Koreshkov, Nikolai A.
8 Martino, Fabrizio
8 Ol’shanskiĭ, Aleksandr Yur’evich
7 Acciarri, Cristina
7 Dăscălescu, Sorin
7 Kruglov, Igor’ Aleksandrovich
7 Montgomery, Susan
7 Ratseev, Sergej Mikhaijlovich
7 Riley, David Michael
6 Baranov, Alexander A.
6 Gonçalves, Dimas José
6 Khukhro, Evgeniĭ I.
6 Nardozza, Vincenzo C.
6 Rodrigo-Escudero, Adrián
6 Souza, Manuela da Silva
6 Tvalavadze, Marina V.
6 Zhang, Wen Ting
5 Bergen, Jeffrey
5 Haile, Darrell E.
5 Kanel’-Belov, Alekseĭ Yakovlevich
5 Lee, Edmond W. H.
5 Mikhalëv, Aleksandr Aleksandrovich
5 Ribeiro Tomaz da Silva, Viviane
5 Sánchez Delgado, José María
5 Schnabel, Ofir
5 Siciliano, Salvatore
5 Stöhr, Ralph
5 Wang, Shuanhong
5 Wang, Yu
4 Benanti, Francesca Saviella
4 Bezushchak, Oksana O.
4 Bokut, Leonid A.
4 Cirrito, Alessio
4 Frolova, Yu. Yu.
4 Ginosar, Yuval
4 Gonçalves Fonseca, Luís Felipe
4 Grzeszczuk, Piotr
4 Krasilnikov, Alexei N.
4 Luo, Yan Feng
4 Mikhalëv, Aleksandr Vasil’evich
4 Natapov, Michael
4 Pikhtilkov, Sergeĭ Alekseevich
4 Regev, Amitai
4 Rizzo, Carla
4 Strade, Helmut
4 Zel’manov, Efim Isaakovich
3 Agore, Ana-Loredana
3 Armakan, Abdoreza R.
3 Balaba, Irina Nikolaevna
3 Billig, Yuly
3 Boboc, Crina
3 Chen, Liangyun
3 Chen, Yuqun
3 Cherevatenko, Ol’ga Ivanovna
3 Fischman, Davida
3 Freitas, José António
3 Golubkov, Artem Yu.
3 Guimarães, Alan De Araújo
3 Karasik, Yaakov
3 Karasik, Yakov
3 Kaygorodov, Ivan
3 Khalili, Valiollah
3 Kharchenko, Vladislav K.
3 Lau, Michael P. H.
3 Militaru, Gigel
3 Navarro Izquierdo, Francisco J.
3 Omirov, Bakhrom A.
3 Özkurt, Zeynep
3 Panov, Nikolaĭ Petrovich
3 Passman, Donald Steven
3 Pikhtilkova, Ol’ga Aleksandrovna
3 Price, Kenneth L.
...and 443 more Authors
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Cited in 130 Serials

141 Journal of Algebra
70 Communications in Algebra
38 Linear Algebra and its Applications
31 Israel Journal of Mathematics
28 Journal of Pure and Applied Algebra
25 Mathematical Notes
22 Journal of Mathematical Sciences (New York)
22 Algebras and Representation Theory
20 Proceedings of the American Mathematical Society
18 Transactions of the American Mathematical Society
17 International Journal of Algebra and Computation
16 Linear and Multilinear Algebra
16 Journal of Algebra and its Applications
13 Algebra and Logic
13 Siberian Mathematical Journal
11 Russian Mathematics
10 Advances in Mathematics
8 Moscow University Mathematics Bulletin
8 Turkish Journal of Mathematics
8 Chebyshevskiĭ Sbornik
7 Journal of Mathematical Physics
6 Archiv der Mathematik
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Algebra Colloquium
6 São Paulo Journal of Mathematical Sciences
5 Journal of Geometry and Physics
5 Results in Mathematics
4 Advances in Applied Mathematics
4 Revista Matemática Iberoamericana
4 Matematicheskie Voprosy Kriptografii
3 Bulletin of the Australian Mathematical Society
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Geometriae Dedicata
3 Journal of Soviet Mathematics
3 Manuscripta Mathematica
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Forum Mathematicum
3 Discrete Mathematics and Applications
3 Groups, Geometry, and Dynamics
3 Prikladnaya Diskretnaya Matematika
2 Communications in Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Theoretical and Mathematical Physics
2 Ukrainian Mathematical Journal
2 Beiträge zur Algebra und Geometrie
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Glasgow Mathematical Journal
2 Journal für die Reine und Angewandte Mathematik
2 Monatshefte für Mathematik
2 Revista Colombiana de Matemáticas
2 Note di Matematica
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Science in China. Series A
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Applied Categorical Structures
2 Georgian Mathematical Journal
2 Advances in Applied Clifford Algebras
2 Finite Fields and their Applications
2 Journal of Lie Theory
2 Doklady Mathematics
2 Acta Mathematica Sinica. English Series
2 Mediterranean Journal of Mathematics
2 Sarajevo Journal of Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Journal of Noncommutative Geometry
2 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
2 Bulletin of Mathematical Sciences
2 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
2 Communications in Mathematics
1 Modern Physics Letters A
1 Discrete Applied Mathematics
1 Discrete Mathematics
1 Letters in Mathematical Physics
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Algebra i Logika
1 Algebra Universalis
1 Annales de l’Institut Fourier
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Demonstratio Mathematica
1 Duke Mathematical Journal
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Rendiconti del Seminario Matematico della Università di Padova
1 Semigroup Forum
1 Transactions of the Moscow Mathematical Society
1 Annals of Pure and Applied Logic
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Geometric and Functional Analysis. GAFA
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Applicable Algebra in Engineering, Communication and Computing
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 Filomat
1 The New York Journal of Mathematics
...and 30 more Serials
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Cited in 37 Fields

449 Nonassociative rings and algebras (17-XX)
435 Associative rings and algebras (16-XX)
110 Group theory and generalizations (20-XX)
37 Linear and multilinear algebra; matrix theory (15-XX)
24 General algebraic systems (08-XX)
21 Category theory; homological algebra (18-XX)
16 Combinatorics (05-XX)
12 Commutative algebra (13-XX)
11 Quantum theory (81-XX)
10 Order, lattices, ordered algebraic structures (06-XX)
8 Topological groups, Lie groups (22-XX)
7 Algebraic geometry (14-XX)
7 Differential geometry (53-XX)
7 Manifolds and cell complexes (57-XX)
6 Field theory and polynomials (12-XX)
6 Functional analysis (46-XX)
6 Computer science (68-XX)
5 Probability theory and stochastic processes (60-XX)
4 Number theory (11-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Operator theory (47-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Abstract harmonic analysis (43-XX)
1 Numerical analysis (65-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

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