Edit Profile (opens in new tab) Bahturin, Yuri Co-Author Distance Author ID: bahturin.yuri-a 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. more...less Further Spellings: Бахтурин Юрий Александрович Homepage: https://www.mun.ca/math/people/ppl-faculty/yuri.php External Links: MGP · Math-Net.Ru · dblp · GND Documents Indexed: 153 Publications since 1968, including 10 Books and 2 Additional arXiv Preprints 8 Contributions as Editor · 4 Further Contributions Biographic References: 1 Publication Co-Authors: 96 Co-Authors with 114 Joint Publications 2,172 Co-Co-Authors 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 all top 5 Fields 122 Nonassociative rings and algebras (17-XX) 97 Associative rings and algebras (16-XX) 21 Group theory and generalizations (20-XX) 11 General and overarching topics; collections (00-XX) 8 General algebraic systems (08-XX) 5 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 History and biography (01-XX) 3 Differential geometry (53-XX) 2 Number theory (11-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 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. 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