Edit Profile Bahturin, Yuri Compute Distance To: Compute Author ID: bahturin.yuri-a 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 all top 5 Co-Authors 41 single-authored 25 Zaĭtsev, Mikhail Vladimirovich 13 Ol’shanskiĭ, Aleksandr Yur’evich 12 Kochetov, Mikhail Viktorovich 6 Giambruno, Antonio 6 Montgomery, Susan 5 Brešar, Matej 5 Golod, Evgeniĭ Solomonovich 5 Shestakov, Ivan Pavlovich 4 Drensky, Vesselin 4 Goze, Michel 4 Parmenter, Michael M. 3 Artamonov, Vyacheslav Aleksandrovich 3 Gamkrelidze, Revaz Valerianovich 3 Pagon, Dušan 3 Regev, Amitai 3 Remm, Elisabeth 3 Sehgal, Sudarshan Kumar 3 Tvalavadze, Marina V. 3 Vinberg, Èrnest Borisovich 2 Benkart, Georgia M. 2 Fischman, Davida 2 Kegel, Otto H. 2 Mikhalëv, Aleksandr Aleksandrovich 2 Petrogradsky, Victor Mikhaylovich 2 Rodrigo-Escudero, Adrián 2 Strade, Helmut 2 Tvalavadze, T. V. 2 Yasumura, Felipe Yukihide 1 Baranov, Alexander A. 1 Chubarov, Igor A. 1 Diniz Pereira da Silva e Silva, Diogo 1 Dos Santos, Helen Samara 1 Hornhardt, Caio De Naday 1 Iskovskikh, Vasiliĭ Alekseevich 1 Latyshev, Viktor Nikolaevich 1 Linchenko, V. 1 McGraw, Jason 1 Mikhalëv, Aleksandr Vasil’evich 1 Mishchenko, Sergeĭ Petrovich 1 Nabiev, S. Zh. 1 Riley, David Michael 1 Sakhaev, Iskhak I. 1 Semenov, K. N. 1 Shihadeh, Abdallah 1 Shmel’kin, Al’fred L’vovich 1 Shpilrain, Vladimir 1 Skryabin, S. M. 1 Slinko, Arkadii M. 1 Špenko, Špela 1 Tronin, Serge N. 1 Yanson, I. A. 1 Zalesski, Alexandre Efimovich 1 Zeilberger, Doron all top 5 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 all top 5 Fields 110 Nonassociative rings and algebras (17-XX) 89 Associative rings and algebras (16-XX) 17 Group theory and generalizations (20-XX) 11 General and overarching topics; collections (00-XX) 7 General algebraic systems (08-XX) 5 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 112 Publications have been cited 1,024 times in 585 Documents Cited by ▼ Year ▼ Group gradings on associative algebras. Zbl 0988.16033Bahturin, Yu. A.; Sehgal, S. K.; Zaicev, M. V. 85 2001 Identities in Lie algebras. Zbl 0571.17001Bakhturin, Yu. A. 56 1985 Graded polynomial identities of matrices. Zbl 1019.16011Bahturin, Yuri; Drensky, Vesselin 52 2002 Gradings on simple Jordan and Lie algebras. Zbl 1066.17018Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V. 50 2005 Group gradings on matrix algebras. Zbl 1022.16032Bahturin, Yu. A.; Zaicev, M. V. 45 2002 Identities of graded algebras. Zbl 0920.16011Bahturin, Yu. A.; Zaicev, M. V. 45 1998 Finite-dimensional simple graded algebras. Zbl 1258.16046Bahturin, Yu. A.; Zaicev, M. V.; Sehgal, S. K. 34 2008 Identical relations in Lie algebras. Transl. from the Russian. Zbl 0691.17001Bakhturin, Yu. A. 31 1987 Graded algebras and graded identities. Zbl 1053.16032Bahturin, 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 1229.17031Bahturin, Yuri; Kochetov, Mikhail 25 2010 On identical relations in free polynilpotent Lie algebras. Zbl 0414.17008Bahturin, Yuri 25 1979 Identities of graded algebras and codimension growth. Zbl 1052.16014Bahturin, Yu. A.; Zaicev, M. V. 23 2004 Infinite-dimensional Lie superalgebras. Zbl 0970.17011Bahturin, Yuri; Mikhalev, Alexander A.; Zaicev, Mikhail 22 2000 \(G\)-identities on associative algebras. Zbl 0910.16009Bahturin, Y.; Giambruno, A.; Zaicev, M. 20 1999 Identities of algebras with actions of Hopf algebras. Zbl 0912.16009Bahturin, Y. A.; Linchenko, V. 19 1998 Group gradings on simple Lie algebras of type “A”. Zbl 1141.17006Bahturin, Yuri; Zaicev, Mikhail 18 2006 Group-graded algebras with polynomial identity. Zbl 0920.16010Bahturin, Yuri; Giambruno, Antonio; Riley, David M. 18 1998 On the generalized Lie structure of associative algebras. Zbl 0874.16024Bahturin, Y.; Fischman, D.; Montgomery, S. 17 1996 Group gradings on \(G_2\). Zbl 1190.17005Bahturin, Y. A.; Tvalavadze, M. V. 16 2009 Some examples of locally finite simple Lie algebras. Zbl 0823.17007Bahturin, Yu.; Strade, H. 16 1995 Involutions on graded matrix algebras. Zbl 1129.16033Bahturin, Yuri; Zaicev, Mikhail 15 2007 Universal sums of Abelian subalgebras. Zbl 0837.16020Bahturin, Yuri; Kegel, O. H. 13 1995 Lie gradings on associative algebras. Zbl 1207.17037Bahturin, Yuri; Brešar, Matej 12 2009 Bicharacters, twistings, and Scheunert’s theorem for Hopf algebras. Zbl 0966.17017Bahturin, Yuri; Fischman, Davida; Montgomery, Susan 12 2001 Simple graded division algebras over the field of real numbers. Zbl 1395.16046Bahturin, Yuri; Zaicev, Mikhail 10 2016 Group gradings on superinvolution simple superalgebras. Zbl 1173.16023Bahturin, Yu.; Tvalavadze, M.; Tvalavadze, T. 10 2009 Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025Bahturin, Yuri; Shestakov, Ivan 10 2001 Identities of sums of commutative subalgebras. Zbl 0829.16014Bahturin, Yuri; Giambruno, Antonio 10 1994 Infinite dimensional Lie superalgebras. Zbl 0762.17001Bakhturin, 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 0396.17006Bahturin, Ju. A. 10 1978 Group gradings on simple Lie algebras in positive characteristic. Zbl 1168.17016Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan 9 2009 Highest weight modules for locally finite Lie algebras. Zbl 0920.17011Bakhturin, Yuri; Benkart, Georgia 9 1997 Identities in the universal envelopes of Lie algebras. Zbl 0298.17013Bakhturin, Yu. A. 9 1974 Group gradings on filiform Lie algebras. Zbl 1400.17005Bahturin, Yuri; Goze, Michel; Remm, Elisabeth 8 2016 Actions of maximal growth. Zbl 1201.16024Bahturin, Yuri; Olshanskii, Alexander 8 2010 Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019Bahturin, Yu. A.; Drensky, V. 8 2003 PI-envelopes of Lie superalgebras. Zbl 1027.17024Bahturin, Yuri; Montgomery, Susan 8 1999 Basic structures of modern algebra. Zbl 0707.00001Bakhturin, Yu. A. 8 1990 Gradings on classical central simple real Lie algebras. Zbl 1448.17031Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián 7 2018 Large restricted Lie algebras. Zbl 1219.17014Bahturin, Yuri; Olshanskii, Alexander 7 2007 Automorphisms and derivations of abelian extensions of some Lie algebras. Zbl 0780.17020Bakhturin, Yu. A.; Nabiev, S. 7 1992 Identical relations in finite Lie rings. Zbl 0319.17004Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu. 7 1975 Group gradings on finitary simple Lie algebras. Zbl 1257.17038Bahturin, Yuri; Brešar, Matej; Kochetov, Mikhail 6 2012 Filtrations and distortion in infinite-dimensional algebras. Zbl 1236.16039Bahturin, Yuri; Olshanskii, Alexander 6 2011 Group gradings on associative algebras with involution. Zbl 1153.16040Bahturin, Y. A.; Giambruno, A. 6 2008 \(G\)-identities of non-associative algebras. Zbl 0939.17002Bakhturin, Yu. A.; Zaitsev, M. V.; Sehgal, S. K. 6 1999 Group gradings on Lie algebras, with applications to geometry. I. Zbl 1354.17023Bahturin, Yuri; Goze, Michel; Remm, Elisabeth 5 2014 Gradings on simple algebras of finitary matrices. Zbl 1259.16048Bahturin, Yuri; Zaicev, Mikhail 5 2010 Lie superautomorphisms on associative algebras. Zbl 1221.16029Bahturin, Yuri; Brešar, Matej 5 2010 Graded tensor products. Zbl 1186.16013Bahturin, Yuri; Regev, Amitai 5 2009 Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311Bahturin, Yuri; Benkart, Georgia 5 2004 Identical relations in finite Lie rings. Zbl 0332.17005Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu. 5 1976 Classification of involutions on graded-division simple real algebras. Zbl 1417.16036Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián 4 2018 Group gradings on free algebras of nilpotent varieties of algebras. Zbl 1374.16102Bahturin, Yuri 4 2012 Semigroup gradings on associative rings. Zbl 1114.16038Bahturin, Y. A.; Zaicev, M. V. 4 2006 On the Lie and associative codimensions growth. Zbl 0940.16013Bahturin, Yuri; Mishchenko, Sergei; Regev, Amitai 4 1999 Sums of simple subalgebras. Zbl 0938.16009Bahturin, Yu. A.; Kegel, O. H. 4 1999 Jordan gradings on associative algebras. Zbl 1237.16040Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan 3 2011 Group gradings on the Lie algebra \(\mathfrak{psl}_n\) in positive characteristic. Zbl 1185.17023Bahturin, Yuri; Kochetov, Mikhail 3 2009 \(Z_2\times Z_2\)-symmetric spaces. Zbl 1156.53030Bahturin, Yuri; Goze, Michel 3 2008 Group gradings on associative superalgebras. Zbl 1154.16305Bahturin, Y. A.; Shestakov, I. P. 3 2006 Polynomial identities in smash products. Zbl 1014.17006Bahturin, Yuri; Petrogradsky, Victor 3 2002 Codimension growth and graded identities. Zbl 0968.16007Bahturin, Y.; Giambruno, A.; Zaicev, M. 3 2000 Cohomologies of certain Lie algebras with an abelian ideal. Zbl 0856.17023Bakhturin, Yu. A.; Pagon, D. 3 1993 Identities. Zbl 0673.16001Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu. 3 1988 Identities of a universal enveloping algebra for a Lie superalgebra. Zbl 0579.17005Bakhturin, Yu. A. 3 1985 On Lie subalgebras of associative PI-algebras. Zbl 0453.16009Bahturin, Yuri 3 1980 2-variable identities of the Lie algebra \(\text{sl}(2,k)\). Zbl 0432.17008Bakhturin, Yu. A. 3 1979 A remark on irreducible representations of Lie algebras. Zbl 0403.17008Bahturin, Ju. A. 3 1979 Identities in Lie algebras. I. Zbl 0268.17004Bahturin, Ju. A. 3 1973 Two remarks on varieties of Lie algebras. Zbl 0186.34304Bakhturin, Yu. A. 3 1968 Graded identities of simple real graded division algebras. Zbl 1420.16030Bahturin, Yuri; Diniz, Diogo 2 2018 Group gradings on the Lie and Jordan superalgebras \(Q(n)\). Zbl 1419.17034Bahturin, Yuri; Dos Santos, Helen Samara; Hornhardt, Caio De Naday; Kochetov, Mikhail 2 2017 Group gradings on Lie algebras and applications to geometry. II. Zbl 1354.17022Bahturin, Yuri; Goze, Michel; Remm, Elisabeth 2 2014 Group gradings on integral group rings. Zbl 1102.16026Bahturin, Yuri A.; Parmenter, Michael M. 2 2006 Simple Lie subalgebras of locally finite associative algebras. Zbl 1104.17014Bahturin, Y. A.; Baranov, A. A.; Zalesski, A. E. 2 2004 Generalized Lie solvability of associative algebras. Zbl 1051.17018Bahturin, Yuri; Montgomery, Susan; Zaicev, Mikhail 2 2003 Generalized commutativity in group algebras. Zbl 1032.16023Bahturin, Yu. A.; Parmenter, M. M. 2 2003 Identities of graded alternative algebras. Zbl 1006.17028Bahturin, Y.; Zaicev, M. 2 2000 Locally finite-dimensional simple Lie algebras. Zbl 0829.17016Bakhturin, Yu. A.; Strade, Helmut 2 1994 Basic structures of modern algebra. Translated from Russian by D. Žvirénaité. Zbl 0793.00001Bahturin, Yuri 2 1993 Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014Bakhturin, Yu. A.; Drensky, V. S. 2 1987 Nonassociative rings. Zbl 0486.17001Bakhturin, Yu. A.; Slin’ko, A. M.; Shestakov, I. P. 2 1981 On special Lie algebras. Zbl 0489.17006Bakhturin, Yu. A. 2 1980 On homomorphisms of soluble Lie algebras. Zbl 0432.17007Bahturin, Yuri 2 1979 On identities in Lie algebras. I. Zbl 0258.17007Bahturin, Ju. A. 2 1973 Distinguishing simple algebras by means of polynomial identities. Zbl 1435.17007Bahturin, Yuri; Yasumura, Felipe 1 2019 Graded polynomial identities as identities of universal algebras. Zbl 1435.17006Bahturin, Yuri; Yasumura, Felipe 1 2019 Graded division algebras over the field of real numbers. Zbl 1440.16049Bahturin, Yuri; Zaicev, Mikhail 1 2018 Growth of subalgebras and subideals in free Lie algebras. Zbl 1311.17003Bahturin, Yuri; Olshanskii, Alexander 1 2015 Lie superautomorphisms on associative algebras. II. Zbl 1257.16032Bahturin, Yuri; Brešar, Matej; Špenko, Špela 1 2012 Group gradings on restricted Cartan-type Lie algebras. Zbl 1276.17015Bahturin, Yuri; Kochetov, Mikhail 1 2011 Commutation relations and Vandermonde determinants. Zbl 1168.15002Bahturin, Yuri; Regev, Amitai; Zeilberger, Doron 1 2009 Sums of simple and nilpotent Lie subalgebras. Zbl 1026.17011Bahturin, Y.; Tvalavadze, M.; Tvalavadze, T. 1 2002 Polycharacters of cocommutative Hopf algebras. Zbl 1006.16048Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan 1 2002 Actions on algebras and applications. Zbl 1004.16032Bahturin, Yuri 1 2001 Identities of special Jordan algebras with finite grading. Zbl 1027.17026Bakhturin, Yu. A.; Zaitsev, M. V. 1 1998 Identities of algebras with actions of Hopf algebras. Zbl 0948.16017Bahturin, Yuri 1 1998 On Lie algebras with wild automorphisms. Zbl 0837.17010Bakhturin, Yuri; Shpilrain, Vladimir 1 1995 Residual finiteness of color Lie superalgebras. Zbl 0786.17005Bakhturin, Yu. A.; Zaĭtsev, M. V. 1 1993 Distinguishing simple algebras by means of polynomial identities. Zbl 1435.17007Bahturin, Yuri; Yasumura, Felipe 1 2019 Graded polynomial identities as identities of universal algebras. Zbl 1435.17006Bahturin, Yuri; Yasumura, Felipe 1 2019 Gradings on classical central simple real Lie algebras. Zbl 1448.17031Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián 7 2018 Classification of involutions on graded-division simple real algebras. Zbl 1417.16036Bahturin, Yuri; Kochetov, Mikhail; Rodrigo-Escudero, Adrián 4 2018 Graded identities of simple real graded division algebras. Zbl 1420.16030Bahturin, Yuri; Diniz, Diogo 2 2018 Graded division algebras over the field of real numbers. Zbl 1440.16049Bahturin, Yuri; Zaicev, Mikhail 1 2018 Group gradings on the Lie and Jordan superalgebras \(Q(n)\). Zbl 1419.17034Bahturin, Yuri; Dos Santos, Helen Samara; Hornhardt, Caio De Naday; Kochetov, Mikhail 2 2017 Simple graded division algebras over the field of real numbers. Zbl 1395.16046Bahturin, Yuri; Zaicev, Mikhail 10 2016 Group gradings on filiform Lie algebras. Zbl 1400.17005Bahturin, Yuri; Goze, Michel; Remm, Elisabeth 8 2016 Growth of subalgebras and subideals in free Lie algebras. Zbl 1311.17003Bahturin, Yuri; Olshanskii, Alexander 1 2015 Group gradings on Lie algebras, with applications to geometry. I. Zbl 1354.17023Bahturin, Yuri; Goze, Michel; Remm, Elisabeth 5 2014 Group gradings on Lie algebras and applications to geometry. II. Zbl 1354.17022Bahturin, Yuri; Goze, Michel; Remm, Elisabeth 2 2014 Group gradings on finitary simple Lie algebras. Zbl 1257.17038Bahturin, Yuri; Brešar, Matej; Kochetov, Mikhail 6 2012 Group gradings on free algebras of nilpotent varieties of algebras. Zbl 1374.16102Bahturin, Yuri 4 2012 Lie superautomorphisms on associative algebras. II. Zbl 1257.16032Bahturin, Yuri; Brešar, Matej; Špenko, Špela 1 2012 Filtrations and distortion in infinite-dimensional algebras. Zbl 1236.16039Bahturin, Yuri; Olshanskii, Alexander 6 2011 Jordan gradings on associative algebras. Zbl 1237.16040Bahturin, Yuri; Brešar, Matej; Shestakov, Ivan 3 2011 Group gradings on restricted Cartan-type Lie algebras. Zbl 1276.17015Bahturin, 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 1229.17031Bahturin, Yuri; Kochetov, Mikhail 25 2010 Actions of maximal growth. Zbl 1201.16024Bahturin, Yuri; Olshanskii, Alexander 8 2010 Gradings on simple algebras of finitary matrices. Zbl 1259.16048Bahturin, Yuri; Zaicev, Mikhail 5 2010 Lie superautomorphisms on associative algebras. Zbl 1221.16029Bahturin, Yuri; Brešar, Matej 5 2010 Group gradings on \(G_2\). Zbl 1190.17005Bahturin, Y. A.; Tvalavadze, M. V. 16 2009 Lie gradings on associative algebras. Zbl 1207.17037Bahturin, Yuri; Brešar, Matej 12 2009 Group gradings on superinvolution simple superalgebras. Zbl 1173.16023Bahturin, Yu.; Tvalavadze, M.; Tvalavadze, T. 10 2009 Group gradings on simple Lie algebras in positive characteristic. Zbl 1168.17016Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan 9 2009 Graded tensor products. Zbl 1186.16013Bahturin, Yuri; Regev, Amitai 5 2009 Group gradings on the Lie algebra \(\mathfrak{psl}_n\) in positive characteristic. Zbl 1185.17023Bahturin, Yuri; Kochetov, Mikhail 3 2009 Commutation relations and Vandermonde determinants. Zbl 1168.15002Bahturin, Yuri; Regev, Amitai; Zeilberger, Doron 1 2009 Finite-dimensional simple graded algebras. Zbl 1258.16046Bahturin, Yu. A.; Zaicev, M. V.; Sehgal, S. K. 34 2008 Group gradings on associative algebras with involution. Zbl 1153.16040Bahturin, Y. A.; Giambruno, A. 6 2008 \(Z_2\times Z_2\)-symmetric spaces. Zbl 1156.53030Bahturin, Yuri; Goze, Michel 3 2008 Involutions on graded matrix algebras. Zbl 1129.16033Bahturin, Yuri; Zaicev, Mikhail 15 2007 Large restricted Lie algebras. Zbl 1219.17014Bahturin, Yuri; Olshanskii, Alexander 7 2007 Group gradings on simple Lie algebras of type “A”. Zbl 1141.17006Bahturin, Yuri; Zaicev, Mikhail 18 2006 Semigroup gradings on associative rings. Zbl 1114.16038Bahturin, Y. A.; Zaicev, M. V. 4 2006 Group gradings on associative superalgebras. Zbl 1154.16305Bahturin, Y. A.; Shestakov, I. P. 3 2006 Group gradings on integral group rings. Zbl 1102.16026Bahturin, Yuri A.; Parmenter, Michael M. 2 2006 Gradings on simple Jordan and Lie algebras. Zbl 1066.17018Bahturin, Y. A.; Shestakov, I. P.; Zaicev, M. V. 50 2005 Identities of graded algebras and codimension growth. Zbl 1052.16014Bahturin, Yu. A.; Zaicev, M. V. 23 2004 Some constructions in the theory of locally finite simple Lie algebras. Zbl 1138.17311Bahturin, Yuri; Benkart, Georgia 5 2004 Simple Lie subalgebras of locally finite associative algebras. Zbl 1104.17014Bahturin, Y. A.; Baranov, A. A.; Zalesski, A. E. 2 2004 Graded algebras and graded identities. Zbl 1053.16032Bahturin, Yu. A.; Zaicev, M. V. 28 2003 Identities of bilinear mappings and graded polynomial identities of matrices. Zbl 1025.15019Bahturin, Yu. A.; Drensky, V. 8 2003 Generalized Lie solvability of associative algebras. Zbl 1051.17018Bahturin, Yuri; Montgomery, Susan; Zaicev, Mikhail 2 2003 Generalized commutativity in group algebras. Zbl 1032.16023Bahturin, Yu. A.; Parmenter, M. M. 2 2003 Graded polynomial identities of matrices. Zbl 1019.16011Bahturin, Yuri; Drensky, Vesselin 52 2002 Group gradings on matrix algebras. Zbl 1022.16032Bahturin, Yu. A.; Zaicev, M. V. 45 2002 Polynomial identities in smash products. Zbl 1014.17006Bahturin, Yuri; Petrogradsky, Victor 3 2002 Sums of simple and nilpotent Lie subalgebras. Zbl 1026.17011Bahturin, Y.; Tvalavadze, M.; Tvalavadze, T. 1 2002 Polycharacters of cocommutative Hopf algebras. Zbl 1006.16048Bahturin, Yuri; Kochetov, Mikhail; Montgomery, Susan 1 2002 Group gradings on associative algebras. Zbl 0988.16033Bahturin, Yu. A.; Sehgal, S. K.; Zaicev, M. V. 85 2001 Bicharacters, twistings, and Scheunert’s theorem for Hopf algebras. Zbl 0966.17017Bahturin, Yuri; Fischman, Davida; Montgomery, Susan 12 2001 Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras. Zbl 1054.17025Bahturin, Yuri; Shestakov, Ivan 10 2001 Actions on algebras and applications. Zbl 1004.16032Bahturin, Yuri 1 2001 Infinite-dimensional Lie superalgebras. Zbl 0970.17011Bahturin, Yuri; Mikhalev, Alexander A.; Zaicev, Mikhail 22 2000 Codimension growth and graded identities. Zbl 0968.16007Bahturin, Y.; Giambruno, A.; Zaicev, M. 3 2000 Identities of graded alternative algebras. Zbl 1006.17028Bahturin, Y.; Zaicev, M. 2 2000 \(G\)-identities on associative algebras. Zbl 0910.16009Bahturin, Y.; Giambruno, A.; Zaicev, M. 20 1999 PI-envelopes of Lie superalgebras. Zbl 1027.17024Bahturin, Yuri; Montgomery, Susan 8 1999 \(G\)-identities of non-associative algebras. Zbl 0939.17002Bakhturin, Yu. A.; Zaitsev, M. V.; Sehgal, S. K. 6 1999 On the Lie and associative codimensions growth. Zbl 0940.16013Bahturin, Yuri; Mishchenko, Sergei; Regev, Amitai 4 1999 Sums of simple subalgebras. Zbl 0938.16009Bahturin, Yu. A.; Kegel, O. H. 4 1999 Identities of graded algebras. Zbl 0920.16011Bahturin, Yu. A.; Zaicev, M. V. 45 1998 Identities of algebras with actions of Hopf algebras. Zbl 0912.16009Bahturin, Y. A.; Linchenko, V. 19 1998 Group-graded algebras with polynomial identity. Zbl 0920.16010Bahturin, Yuri; Giambruno, Antonio; Riley, David M. 18 1998 Identities of special Jordan algebras with finite grading. Zbl 1027.17026Bakhturin, Yu. A.; Zaitsev, M. V. 1 1998 Identities of algebras with actions of Hopf algebras. Zbl 0948.16017Bahturin, Yuri 1 1998 Highest weight modules for locally finite Lie algebras. Zbl 0920.17011Bakhturin, Yuri; Benkart, Georgia 9 1997 On the generalized Lie structure of associative algebras. Zbl 0874.16024Bahturin, Y.; Fischman, D.; Montgomery, S. 17 1996 Some examples of locally finite simple Lie algebras. Zbl 0823.17007Bahturin, Yu.; Strade, H. 16 1995 Universal sums of Abelian subalgebras. Zbl 0837.16020Bahturin, Yuri; Kegel, O. H. 13 1995 On Lie algebras with wild automorphisms. Zbl 0837.17010Bakhturin, Yuri; Shpilrain, Vladimir 1 1995 Identities of sums of commutative subalgebras. Zbl 0829.16014Bahturin, Yuri; Giambruno, Antonio 10 1994 Locally finite-dimensional simple Lie algebras. Zbl 0829.17016Bakhturin, Yu. A.; Strade, Helmut 2 1994 Cohomologies of certain Lie algebras with an abelian ideal. Zbl 0856.17023Bakhturin, Yu. A.; Pagon, D. 3 1993 Basic structures of modern algebra. Translated from Russian by D. Žvirénaité. Zbl 0793.00001Bahturin, Yuri 2 1993 Residual finiteness of color Lie superalgebras. Zbl 0786.17005Bakhturin, Yu. A.; Zaĭtsev, M. V. 1 1993 Infinite dimensional Lie superalgebras. Zbl 0762.17001Bakhturin, Yu. A.; Mikhalev, A. A.; Petrogradskiĭ, V. M.; Zaĭtsev, M. V. 10 1992 Automorphisms and derivations of abelian extensions of some Lie algebras. Zbl 0780.17020Bakhturin, Yu. A.; Nabiev, S. 7 1992 Basic structures of modern algebra. Zbl 0707.00001Bakhturin, Yu. A. 8 1990 Lie superalgebras with bounded dimensions of irreducible representations. Zbl 0675.17011Bakhturin, Yu. A. 1 1989 Identities. Zbl 0673.16001Bakhturin, Yu. A.; Ol’shanskiĭ, A. Yu. 3 1988 Identical relations in Lie algebras. Transl. from the Russian. Zbl 0691.17001Bakhturin, Yu. A. 31 1987 Identities of solvable chromatic Lie superalgebras. Zbl 0645.17014Bakhturin, Yu. A.; Drensky, V. S. 2 1987 Identities of solvable color Lie superalgebras. Zbl 0658.17022Bakhturin, Yu. A.; Drensky, V. S. 1 1987 Residual finiteness of solvable varieties of Lie algebras. Zbl 0629.17007Bakhturin, Yu. A.; Semenov, K. N. 1 1986 Identities in Lie algebras. Zbl 0571.17001Bakhturin, Yu. A. 56 1985 Identities of a universal enveloping algebra for a Lie superalgebra. Zbl 0579.17005Bakhturin, Yu. A. 3 1985 Two-variable identities in the Lie algebra sl(2,k). Zbl 0664.17008Bakhturin, Yu. A. 1 1985 On the structure of the PI-envelope of a finite dimensional Lie algebra. Zbl 0598.17005Bakhturin, Yu. A. 1 1985 Artinian special Lie algebras. Zbl 0531.17006Bakhturin, Yu. A. 1 1982 Special varieties of Lie algebras. Zbl 0496.17010Bakhturin, Yu. A. 1 1982 Nonassociative rings. Zbl 0486.17001Bakhturin, Yu. A.; Slin’ko, A. M.; Shestakov, I. P. 2 1981 On Lie subalgebras of associative PI-algebras. Zbl 0453.16009Bahturin, Yuri 3 1980 On special Lie algebras. Zbl 0489.17006Bakhturin, Yu. A. 2 1980 On identical relations in free polynilpotent Lie algebras. Zbl 0414.17008Bahturin, Yuri 25 1979 2-variable identities of the Lie algebra \(\text{sl}(2,k)\). Zbl 0432.17008Bakhturin, Yu. A. 3 1979 A remark on irreducible representations of Lie algebras. Zbl 0403.17008Bahturin, Ju. A. 3 1979 On homomorphisms of soluble Lie algebras. Zbl 0432.17007Bahturin, Yuri 2 1979 ...and 12 more Documents all cited Publications top 5 cited Publications 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. 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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 all top 5 Cited in 35 Fields 349 Nonassociative rings and algebras (17-XX) 334 Associative rings and algebras (16-XX) 83 Group theory and generalizations (20-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 20 General algebraic systems (08-XX) 16 Category theory; homological algebra (18-XX) 11 Combinatorics (05-XX) 10 Quantum theory (81-XX) 8 Commutative algebra (13-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic geometry (14-XX) 7 Manifolds and cell complexes (57-XX) 6 Topological groups, Lie groups (22-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Differential geometry (53-XX) 4 Field theory and polynomials (12-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Probability theory and stochastic processes (60-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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