Yuri Bahturin

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All published works
Action Title Year Authors
+ PDF Chat Superpolynomial identities of finite-dimensional simple algebras 2025 Yuri Bahturin
Felipe Yukihide Yasumura
+ PDF Chat Superpolynomial identities of finite-dimensional simple algebras 2024 Yuri Bahturin
Felipe Yukihide Yasumura
+ PDF Chat On generic properties of nilpotent algebras 2024 Yuri Bahturin
Alexander Olshanskii
+ PDF Chat Nilpotent algebras, implicit function theorem, and polynomial quasigroups 2023 Yuri Bahturin
Alexander Olshanskii
+ Nilpotent algebras, implicit function theorem, and polynomial quasigroups 2022 Yuri Bahturin
Alexander Olshanskii
+ Graded torsion-free 𝔰𝔩2(ℂ)-modules of rank 2 2021 Yuri Bahturin
Abdallah Shihadeh
+ PDF Chat Delta Sets and Polynomial Identities in Pointed Hopf Algebras 2021 Yuri Bahturin
Sarah Witherspoon
+ 11 Identities of graded Lie algebras 2021 Yuri Bahturin
+ Identical Relations in Lie Algebras 2021 Yuri Bahturin
+ Graded‐Division Algebras 2021 Yuri Bahturin
Mikhail Kochetov
Mikhail Zaicev
+ Delta sets and polynomial identities in pointed Hopf algebras 2021 Yuri Bahturin
Sarah Witherspoon
+ Some Thoughts on the Current State of the Theory of Identical Relations in Lie Algebras 2020 Yuri Bahturin
+ PDF Chat Graded-division algebras over arbitrary fields 2020 Yuri Bahturin
Alberto Elduque
Mikhail Kochetov
+ PDF Chat Group gradings and actions of pointed Hopf algebras 2020 Yuri Bahturin
Susan Montgomery
+ Group Gradings and Actions of Pointed Hopf Algebras 2020 Yuri Bahturin
S. Montgomery
+ PDF Chat Graded modules over simple Lie algebras 2019 Yuri Bahturin
Mikhail Kochetov
Abdallah Shihadeh
+ Identities of graded alternative algebras 2019 Yuri Bahturin
Mikhail Zaicev
+ PDF Chat Distinguishing simple algebras by means of polynomial identities 2019 Yuri Bahturin
Felipe Yukihide Yasumura
+ PDF Chat On nonassociative graded-simple algebras over the field of real numbers 2019 Yuri Bahturin
Mikhail Kochetov
+ Graded-division algebras over arbitrary fields 2019 Yuri Bahturin
Alberto Elduque
Mikhail Kochetov
+ Graded torsion-free ${\mathfrak{sl}_2(\mathbb{C})}$-modules of rank 2 2019 Yuri Bahturin
Abdallah Shihadeh
+ Graded polynomial identities as identities of universal algebras 2018 Yuri Bahturin
Felipe Yukihide Yasumura
+ Graded division algebras over the field of real numbers 2018 Yuri Bahturin
Mikhail Zaicev
+ Gradings on classical central simple real Lie algebras 2018 Yuri Bahturin
Mikhail Kochetov
Adrián Rodrigo-Escudero
+ Classification of involutions on graded-division simple real algebras 2018 Yuri Bahturin
Mikhail Kochetov
Adrián Rodrigo-Escudero
+ On nonassociative graded-simple algebras over the field of real numbers 2018 Yuri Bahturin
Mikhail Kochetov
+ Graded identities of simple real graded division algebras 2017 Yuri Bahturin
Diogo Diniz
+ PDF Chat Group gradings on the Lie and Jordan superalgebras<i>Q</i>(<i>n</i>) 2016 Yuri Bahturin
Helen Samara Dos Santos
Caio De Naday Hornhardt
Mikhail Kochetov
+ Graded Division Algebras over the Field of Real Numbers 2016 Yuri Bahturin
Mikhail Zaicev
+ Simple graded division algebras over the field of real numbers 2015 Yuri Bahturin
Mikhail Zaicev
+ PDF Chat Group Gradings on Filiform Lie Algebras 2015 Yuri Bahturin
Michel Goze
Elisabeth Remm
+ Simple Graded Division Algebras over the Field of Real Numbers 2015 Yuri Bahturin
Mikhail Zaicev
+ Group gradings on the Lie and Jordan superalgebras $Q(n)$ 2015 Yuri Bahturin
Helen Samara Dos Santos
Caio De Naday Hornhardt
Mikhail Kochetov
+ Graded identities of simple real graded division algebras 2015 Yuri Bahturin
Diogo Diniz Pereira da Silva e Silva
+ Gradings by Groups on Cartan Type Lie Algebras 2015 Yuri Bahturin
Mikhail Kochetov
Jason McGraw
+ Growth of subalgebras and subideals in free Lie algebras 2014 Yuri Bahturin
Alexander Olshanskii
+ Group Gradings on Lie Algebras, with Applications to Geometry. I 2014 Yuri Bahturin
Michel Goze
Elisabeth Remm
+ Group Gradings on Lie Algebras and Applications to Geometry: II 2014 Yuri Bahturin
Michel Goze
Elisabeth Remm
+ Growth of subalgebras and subideals in free Lie algebras 2013 Yuri Bahturin
Alexander Olshanskii
+ Group gradings on filiform Lie algebras 2013 Yuri Bahturin
Michel Goze
Elisabeth Remm
+ PDF Chat GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS 2012 Yuri Bahturin
Matej Brešar
Mikhail Kochetov
+ Lie Superautomorphisms on Associative Algebras, II 2012 Yuri Bahturin
Matej Brešar
Špela Špenko
+ PDF Chat Group gradings on restricted Cartan-type Lie algebras 2011 Yuri Bahturin
Mikhail Kochetov
+ Groups, Rings, Lie and Hopf Algebras 2011 Yuri Bahturin
+ PDF Chat Lie Superautomorphisms on Associative Algebras, II 2010 Yuri Bahturin
Matej Brešar
Špela Špenko
+ PDF Chat Filtrations and distortion in infinite-dimensional algebras 2010 Yuri Bahturin
Alexander Olshanskii
+ Gradings on simple algebras of finitary matrices 2010 Yuri Bahturin
Mikhail Zaicev
+ Classification of group gradings on simple Lie algebras of types <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">A</mml:mi></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi mathvariant="script">B</mml:mi></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" overflow="scroll"><mml:mi mathvariant="script">C</mml:mi></mml:math> and… 2010 Yuri Bahturin
Mikhail Kochetov
+ PDF Chat Actions of maximal growth 2010 Yuri Bahturin
Alexander Olshanskii
+ Group gradings on restricted Cartan type Lie algebras 2010 Yuri Bahturin
Mikhail Kochetov
+ Filtrations and Distortion in Infinite-Dimensional Algebras 2010 Yuri Bahturin
Alexander Olshanskii
+ PDF Chat Lie superautomorphisms on associative algebras 2009 Yuri Bahturin
Matej Brešar
+ Group Gradings on<i>G</i><sub>2</sub> 2009 Yuri Bahturin
M. Tvalavadze
+ Group gradings on the Lie algebra <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="fraktur">p</mml:mi><mml:mi mathvariant="fraktur">s</mml:mi><mml:mi mathvariant="fraktur">l</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math> in positive characteristic 2009 Yuri Bahturin
Mikhail Kochetov
+ PDF Chat Schreier rewriting beyond the classical setting 2009 Yuri Bahturin
Alexander Olshanskii
+ Graded tensor products 2009 Yuri Bahturin
Amitai Regev
+ Gradings on simple algebras of finitary matrices 2009 Yuri Bahturin
Mikhail Zaicev
+ Classifying simple color Lie superalgebras 2009 Yuri Bahturin
Dušan Pagon
+ Commutation relations and Vandermonde determinants 2008 Yuri Bahturin
Amitai Regev
Doron Zeilberger
+ Group gradings on simple Lie algebras in positive characteristic 2008 Yuri Bahturin
Mikhail Kochetov
Susan Montgomery
+ Lie gradings on associative algebras 2008 Yuri Bahturin
Matej Brešar
+ PDF Chat Group Gradings on Associative Algebras with Involution 2008 Yuri Bahturin
Antonio Giambruno
+ PDF Chat ℤ2× ℤ2-symmetric spaces 2008 Yuri Bahturin
Michel Goze
+ PDF Chat Конечномерные простые градуированные алгебры 2008 Юрий Александрович Бахтурин
Yuri Bahturin
М. В. Зайцев
Mikhail Zaicev
Сударшан К Сегал
Surinder K. Sehgal
+ Involutions on graded matrix algebras 2007 Yuri Bahturin
Mikhail Zaicev
+ Group Gradings on $G_2$ 2007 Yuri Bahturin
M. Tvalavadze
+ Large restricted Lie algebras 2007 Yuri Bahturin
Alexander Olshanskii
+ Group gradings on simple Lie algebras of type A in positive characteristic 2007 Yuri Bahturin
Mikhail Kochetov
Susan Montgomery
+ Group Gradings on $G_2$ 2007 Yuri Bahturin
M. Tvalavadze
+ Semigroup gradings on associative rings 2006 Yuri Bahturin
Mikhail Zaicev
+ Group gradings on integral group rings 2006 Yuri Bahturin
M. M. Parmenter
+ (Z/2Z x Z/2Z)-symmetric spaces 2006 Yuri Bahturin
Michel Goze
+ Involutions on graded matrix algebras 2006 Yuri Bahturin
Mikhail Zaicev
+ Large Restricted Lie Algebras 2006 Yuri Bahturin
Alexander Olshanskii
+ Group gradings on associative superalgebras 2006 Yuri Bahturin
I. P. Shestakov
+ Group Gradings on Simple Lie Algebras of Type "A" 2005 Yuri Bahturin
Mikhail Zaicev
+ Finite dimensional graded simple algebras 2005 Yuri Bahturin
Surinder K. Sehgal
Mikhail Zaicev
+ Group graddings on Jordan algebras M(+)n 2005 Yuri Bahturin
I. P. Shestakov
Mikhail Zaicev
+ Gradings on simple Jordan and Lie algebras 2004 Yuri Bahturin
I. P. Shestakov
Mikhail Zaicev
+ Casimir Elements for Some Graded Lie Algebras and Superalgebras 2004 Yuri Bahturin
Alexander Molev
+ Simple Lie subalgebras of locally finite associative algebras 2004 Yuri Bahturin
Alexander Baranov
Alexandre Zalesski
+ Some Constructions in the Theory of Locally Finite Simple Lie Algebras 2004 Yuri Bahturin
Georgia Benkart
+ Groups, Rings, Lie and Hopf Algebras 2003 Yuri Bahturin
+ Generalized Lie Solvability of Associative Algebras 2003 Yuri Bahturin
Susan Montgomery
Mikhail Zaicev
+ Graded polynomial identities of matrices 2002 Yuri Bahturin
Vesselin Drensky
+ PDF Chat Polycharacters of Cocommutative Hopf Algebras 2002 Yuri Bahturin
Mikhail Kochetov
Susan Montgomery
+ Polynomial Identities in Smash Products 2002 Yuri Bahturin
Victor Petrogradsky
+ SUMS OF SIMPLE AND NILPOTENT LIE SUBALGEBRAS 2002 Yuri Bahturin
M. Tvalavadze
T. Tvalavadze
+ GRADINGS OF SIMPLE JORDAN ALGEBRAS AND THEIR RELATION TO THE GRADINGS OF SIMPLE ASSOCIATIVE ALGEBRAS 2001 Yuri Bahturin
I. P. Shestakov
+ Bicharacters, Twistings, and Scheunert's Theorem for Hopf Algebras 2001 Yuri Bahturin
Davida Fischman
Susan Montgomery
+ Algebra 2000 Yuri Bahturin
+ Infinite-dimensional lie superalgebras 2000 Yuri Bahturin
Alexander A. Mikhalev
Mikhail Zaicev
+ Pi-envelopes of Lie superalgebras 1999 Yuri Bahturin
Susan Montgomery
+ PDF Chat $G$-identities on associative algebras 1999 Yuri Bahturin
Antonio Giambruno
Mikhail Zaicev
+ On the lee and associative codimensions growth 1999 Yuri Bahturin
Сергей Петрович Мищенко
Amitai Regev
+ PDF Chat $G$-тождества неассоциативных алгебр 1999 Юрий Александрович Бахтурин
Yuri Bahturin
М. В. Зайцев
Mikhail Zaicev
Сударшан К Сегал
Surinder K. Sehgal
+ Group-graded algebras with polynomial identity 1998 Yuri Bahturin
Antonio Giambruno
David M. Riley
+ Identities of Graded Algebras 1998 Yuri Bahturin
Mikhail Zaicev
+ Identities of Algebras with Actions of Hopf Algebras 1998 Yuri Bahturin
V. Linchenko
+ Symmetric identities in graded algebras 1997 Yuri Bahturin
Antonio Giambruno
Mikhail Zaicev
+ Addendum to “centers of enveloping algebras for locally finite–dimensional simple lie algebras” by Y. Bahturin and I. A. Yanson, Volume 24(3), 1 157-1 172 (1996) 1997 Yuri Bahturin
+ On the generalized Lie structure of associative algebras 1996 Yuri Bahturin
Davida Fischman
Susan Montgomery
+ Centers of enveloping algebras for locally finite-dimensional simple lie algebras 1996 Yuri Bahturin
I.A. Yanson
+ Rigidity of free algebras in varieties of lie algebras 1996 Yuri Bahturin
Dušan Pagon
Mikhail Zaicev
+ On Lie Algebras with Wild Automorphisms 1995 Yuri Bahturin
Vladimir Shpilrain
+ Some examples of locally finite simple Lie algebras 1995 Yuri Bahturin
Helmut Strade
+ Universal sums of abelian subalgebras 1995 Yuri Bahturin
Otto H. Kegel
+ Identities of sums of commutative subalgebras 1994 Yuri Bahturin
Antonio Giambruno
+ Homological Algebra 1993 Yuri Bahturin
+ Commutative Algebra 1993 Yuri Bahturin
+ Algebraic Groups 1993 Yuri Bahturin
+ Lie Algebras 1993 Yuri Bahturin
+ Associative Rings 1993 Yuri Bahturin
+ Basic Structures of Modern Algebra 1993 Yuri Bahturin
+ Infinite Dimensional Lie Superalgebras 1992 Yuri Bahturin
Alexander A. Mikhalev
Victor Petrogradsky
Mikhail Zaicev
+ Automorphisms and derivations of abelian extensions of some lie algebras 1992 Yuri Bahturin
S. Nabiyev
+ Identical Relations in Lie Algebras 1986 Yuri Bahturin
+ On Lie subalgebras of associative PI-algebras 1980 Yuri Bahturin
+ On Homomorphisms of Soluble Lie Algebras 1979 Yuri Bahturin
+ On Identical Relations in Free Polynilpotent Lie Algebras 1979 Yuri Bahturin
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Group Gradings on Associative Algebras 2001 Yu. A. Bahturin
Surinder K. Sehgal
Mikhail Zaicev
29
+ Gradings on simple Jordan and Lie algebras 2004 Yuri Bahturin
I. P. Shestakov
Mikhail Zaicev
23
+ Hopf Algebras and Their Actions on Rings 1993 Susan Montgomery
22
+ PDF Chat Group Gradings on Matrix Algebras 2002 Yu. A. Bahturin
Mikhail Zaicev
18
+ Identical Relations in Lie Algebras 1986 Yuri Bahturin
18
+ Gradings on Simple Lie Algebras 2013 Alberto Elduque
Mikhail Kochetov
17
+ Group Gradings on Simple Lie Algebras of Type "A" 2005 Yuri Bahturin
Mikhail Zaicev
15
+ Involutions on graded matrix algebras 2007 Yuri Bahturin
Mikhail Zaicev
15
+ Graded algebras and graded identities 2003 Yu. A. Bahturin
Mikhail Zaicev
12
+ Classification of group gradings on simple Lie algebras of types <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">A</mml:mi></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi mathvariant="script">B</mml:mi></mml:math>, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.gif" overflow="scroll"><mml:mi mathvariant="script">C</mml:mi></mml:math> and… 2010 Yuri Bahturin
Mikhail Kochetov
11
+ GRADINGS OF SIMPLE JORDAN ALGEBRAS AND THEIR RELATION TO THE GRADINGS OF SIMPLE ASSOCIATIVE ALGEBRAS 2001 Yuri Bahturin
I. P. Shestakov
9
+ PDF Chat Realization of graded-simple algebras as loop algebras 2008 Bruce Allison
Stephen Berman
John R. Faulkner
Arturo Pianzola
9
+ Gradings on Octonions 1998 Alberto Elduque
8
+ Infinite-dimensional lie superalgebras 2000 Yuri Bahturin
Alexander A. Mikhalev
Mikhail Zaicev
8
+ Classification of division gradings on finite-dimensional simple real algebras 2015 Adrián Rodrigo-Escudero
8
+ Simple graded division algebras over the field of real numbers 2015 Yuri Bahturin
Mikhail Zaicev
8
+ Methods of Graded Rings 2004 C. Năstăsescu
Freddy M. J. van Oystaeyen
8
+ Polynomial Identities And Combinatorial Methods 2003 Antonio Giambruno
Amitai Regev
Mikhail Zaicev
7
+ Identities of Graded Algebras 1998 Yuri Bahturin
Mikhail Zaicev
7
+ Identities of Algebras and their Representations 1994 Ю.П. Размыслов
A. M. Shtern
Simeon Ivanov
6
+ Structure and Representations of Jordan Algebras 1968 Nathan Jacobson
6
+ Group-graded algebras with polynomial identity 1998 Yuri Bahturin
Antonio Giambruno
David M. Riley
6
+ PDF Chat Fine gradings on simple classical Lie algebras 2010 Alberto Elduque
6
+ Lie gradings on associative algebras 2008 Yuri Bahturin
Matej Brešar
6
+ PDF Chat Identities of Algebras and their Representations 1994 Yu. P. Razmyslov
6
+ Constructing Simple Lie Superalgebras from Associative Graded Algebras 1997 Susan Montgomery
6
+ Infinite Dimensional Lie Superalgebras 1992 Yuri Bahturin
Alexander A. Mikhalev
Victor Petrogradsky
Mikhail Zaicev
6
+ Generalized Lie algebras 1979 M. Scheunert
6
+ Polynomial Identities and Asymptotic Methods 2005 Antonio Giambruno
Mikhail Zaicev
5
+ Delta methods in enveloping rings 1990 Jeffrey Bergen
D. S. Passman
5
+ LOCALLY FINITE-DIMENSIONAL SIMPLE LIE ALGEBRAS 1995 Yu. A. Bakhturin
Khel'mut Shtrade
5
+ Actions of Commutative Hopf Algebras 1986 Jeffrey Bergen
Miriam Cohen
5
+ On Herstein's Lie Map Conjectures, III 2002 К. И. Бейдар
Matej Brešar
M. A. Chebotar
Wallace S. Martindale
5
+ Existence of identities inA⊗B 1972 Amitai Regev
5
+ Finite dimensional graded simple algebras 2005 Yuri Bahturin
Surinder K. Sehgal
Mikhail Zaicev
5
+ Structure of rings 1956 Nathan Jacobson
5
+ Identities of Algebras with Actions of Hopf Algebras 1998 Yuri Bahturin
V. Linchenko
5
+ Graded division algebras over the field of real numbers 2018 Yuri Bahturin
Mikhail Zaicev
5
+ Gradings on simple algebras of finitary matrices 2010 Yuri Bahturin
Mikhail Zaicev
5
+ On Lie gradings II 1998 M. Havlı́ček
J. Patera
Edita Pelantová
4
+ Group Gradings on Full Matrix Rings 1999 S. Dăscălescu
Bogdan Ion
C. Năstăsescu
José Rı́os Montes
4
+ Affine structures on abelian Lie groups 2002 Elisabeth Remm
Michel Goze
4
+ Some examples of locally finite simple Lie algebras 1995 Yuri Bahturin
Helmut Strade
4
+ Gradings on the real forms of the Albert algebra, of g2, and of f4 2010 Antonio J. Calderón Martı́n
Cristina Draper
Cándido Martı́n González
4
+ Group gradings on simple Lie algebras in positive characteristic 2008 Yuri Bahturin
Mikhail Kochetov
Susan Montgomery
4
+ On Herstein's Lie Map Conjectures, II 2001 К. И. Бейдар
Matej Brešar
M. A. Chebotar
Wallace S. Martindale
4
+ Enveloping algebras satisfying a polynomial identity 1990 D. S. Passman
4
+ Simple Lie color algebras from graded associative algebras 2003 Kaiming Zhao
4
+ Finite-Dimensional Simple-Pointed Hopf Algebras 1999 David E. Radford
4
+ Simple 𝐺-graded algebras and their polynomial identities 2013 Eli Aljadeff
Darrell Haile
4