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Superpolynomial identities of finite-dimensional simple algebras
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2025
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Yuri Bahturin
Felipe Yukihide Yasumura
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Superpolynomial identities of finite-dimensional simple algebras
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2024
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Yuri Bahturin
Felipe Yukihide Yasumura
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On generic properties of nilpotent algebras
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2024
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Yuri Bahturin
Alexander Olshanskii
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Nilpotent algebras, implicit function theorem, and polynomial quasigroups
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2023
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Yuri Bahturin
Alexander Olshanskii
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Nilpotent algebras, implicit function theorem, and polynomial quasigroups
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2022
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Yuri Bahturin
Alexander Olshanskii
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Graded torsion-free 𝔰𝔩2(ℂ)-modules of rank 2
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2021
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Yuri Bahturin
Abdallah Shihadeh
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Delta Sets and Polynomial Identities in Pointed Hopf Algebras
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2021
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Yuri Bahturin
Sarah Witherspoon
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11 Identities of graded Lie algebras
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2021
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Yuri Bahturin
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Identical Relations in Lie Algebras
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2021
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Yuri Bahturin
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Graded‐Division Algebras
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2021
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Yuri Bahturin
Mikhail Kochetov
Mikhail Zaicev
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Delta sets and polynomial identities in pointed Hopf algebras
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2021
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Yuri Bahturin
Sarah Witherspoon
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Some Thoughts on the Current State of the Theory of Identical Relations in Lie Algebras
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2020
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Yuri Bahturin
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Graded-division algebras over arbitrary fields
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2020
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Yuri Bahturin
Alberto Elduque
Mikhail Kochetov
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Chat
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Group gradings and actions of pointed Hopf algebras
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2020
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Yuri Bahturin
Susan Montgomery
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Group Gradings and Actions of Pointed Hopf Algebras
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2020
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Yuri Bahturin
S. Montgomery
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PDF
Chat
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Graded modules over simple Lie algebras
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2019
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Yuri Bahturin
Mikhail Kochetov
Abdallah Shihadeh
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Identities of graded alternative algebras
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2019
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Yuri Bahturin
Mikhail Zaicev
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PDF
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Distinguishing simple algebras by means of polynomial identities
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2019
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Yuri Bahturin
Felipe Yukihide Yasumura
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PDF
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On nonassociative graded-simple algebras over the field of real numbers
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2019
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Yuri Bahturin
Mikhail Kochetov
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Graded-division algebras over arbitrary fields
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2019
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Yuri Bahturin
Alberto Elduque
Mikhail Kochetov
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Graded torsion-free ${\mathfrak{sl}_2(\mathbb{C})}$-modules of rank 2
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2019
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Yuri Bahturin
Abdallah Shihadeh
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Graded polynomial identities as identities of universal algebras
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2018
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Yuri Bahturin
Felipe Yukihide Yasumura
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Graded division algebras over the field of real numbers
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2018
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Yuri Bahturin
Mikhail Zaicev
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Gradings on classical central simple real Lie algebras
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2018
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Yuri Bahturin
Mikhail Kochetov
Adrián Rodrigo-Escudero
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Classification of involutions on graded-division simple real algebras
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2018
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Yuri Bahturin
Mikhail Kochetov
Adrián Rodrigo-Escudero
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On nonassociative graded-simple algebras over the field of real numbers
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2018
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Yuri Bahturin
Mikhail Kochetov
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Graded identities of simple real graded division algebras
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2017
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Yuri Bahturin
Diogo Diniz
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Group gradings on the Lie and Jordan superalgebras<i>Q</i>(<i>n</i>)
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2016
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Yuri Bahturin
Helen Samara Dos Santos
Caio De Naday Hornhardt
Mikhail Kochetov
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Graded Division Algebras over the Field of Real Numbers
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2016
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Yuri Bahturin
Mikhail Zaicev
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Simple graded division algebras over the field of real numbers
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2015
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Yuri Bahturin
Mikhail Zaicev
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PDF
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Group Gradings on Filiform Lie Algebras
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2015
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Yuri Bahturin
Michel Goze
Elisabeth Remm
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Simple Graded Division Algebras over the Field of Real Numbers
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2015
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Yuri Bahturin
Mikhail Zaicev
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Group gradings on the Lie and Jordan superalgebras $Q(n)$
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2015
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Yuri Bahturin
Helen Samara Dos Santos
Caio De Naday Hornhardt
Mikhail Kochetov
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Graded identities of simple real graded division algebras
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2015
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Yuri Bahturin
Diogo Diniz Pereira da Silva e Silva
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Gradings by Groups on Cartan Type Lie Algebras
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2015
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Yuri Bahturin
Mikhail Kochetov
Jason McGraw
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Growth of subalgebras and subideals in free Lie algebras
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2014
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Yuri Bahturin
Alexander Olshanskii
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Group Gradings on Lie Algebras, with Applications to Geometry. I
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2014
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Yuri Bahturin
Michel Goze
Elisabeth Remm
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Group Gradings on Lie Algebras and Applications to Geometry: II
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2014
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Yuri Bahturin
Michel Goze
Elisabeth Remm
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Growth of subalgebras and subideals in free Lie algebras
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2013
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Yuri Bahturin
Alexander Olshanskii
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Group gradings on filiform Lie algebras
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2013
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Yuri Bahturin
Michel Goze
Elisabeth Remm
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GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS
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2012
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Yuri Bahturin
Matej Brešar
Mikhail Kochetov
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Lie Superautomorphisms on Associative Algebras, II
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2012
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Yuri Bahturin
Matej Brešar
Špela Špenko
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Group gradings on restricted Cartan-type Lie algebras
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2011
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Yuri Bahturin
Mikhail Kochetov
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Groups, Rings, Lie and Hopf Algebras
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2011
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Yuri Bahturin
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PDF
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Lie Superautomorphisms on Associative Algebras, II
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2010
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Yuri Bahturin
Matej Brešar
Špela Špenko
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PDF
Chat
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Filtrations and distortion in infinite-dimensional algebras
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2010
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Yuri Bahturin
Alexander Olshanskii
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Gradings on simple algebras of finitary matrices
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2010
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Yuri Bahturin
Mikhail Zaicev
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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…
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2010
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Yuri Bahturin
Mikhail Kochetov
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Actions of maximal growth
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2010
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Yuri Bahturin
Alexander Olshanskii
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Group gradings on restricted Cartan type Lie algebras
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2010
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Yuri Bahturin
Mikhail Kochetov
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Filtrations and Distortion in Infinite-Dimensional Algebras
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2010
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Yuri Bahturin
Alexander Olshanskii
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PDF
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Lie superautomorphisms on associative algebras
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2009
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Yuri Bahturin
Matej Brešar
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Group Gradings on<i>G</i><sub>2</sub>
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2009
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Yuri Bahturin
M. Tvalavadze
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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
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2009
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Yuri Bahturin
Mikhail Kochetov
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PDF
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Schreier rewriting beyond the classical setting
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2009
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Yuri Bahturin
Alexander Olshanskii
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Graded tensor products
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2009
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Yuri Bahturin
Amitai Regev
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Gradings on simple algebras of finitary matrices
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2009
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Yuri Bahturin
Mikhail Zaicev
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Classifying simple color Lie superalgebras
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2009
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Yuri Bahturin
Dušan Pagon
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Commutation relations and Vandermonde determinants
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2008
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Yuri Bahturin
Amitai Regev
Doron Zeilberger
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Group gradings on simple Lie algebras in positive characteristic
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2008
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Yuri Bahturin
Mikhail Kochetov
Susan Montgomery
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Lie gradings on associative algebras
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2008
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Yuri Bahturin
Matej Brešar
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PDF
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Group Gradings on Associative Algebras with Involution
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2008
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Yuri Bahturin
Antonio Giambruno
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PDF
Chat
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ℤ2× ℤ2-symmetric spaces
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2008
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Yuri Bahturin
Michel Goze
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PDF
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Конечномерные простые градуированные алгебры
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2008
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Юрий Александрович Бахтурин
Yuri Bahturin
М. В. Зайцев
Mikhail Zaicev
Сударшан К Сегал
Surinder K. Sehgal
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Involutions on graded matrix algebras
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2007
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Yuri Bahturin
Mikhail Zaicev
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Group Gradings on $G_2$
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2007
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Yuri Bahturin
M. Tvalavadze
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Large restricted Lie algebras
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2007
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Yuri Bahturin
Alexander Olshanskii
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Group gradings on simple Lie algebras of type A in positive characteristic
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2007
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Yuri Bahturin
Mikhail Kochetov
Susan Montgomery
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Group Gradings on $G_2$
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2007
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Yuri Bahturin
M. Tvalavadze
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Semigroup gradings on associative rings
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2006
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Yuri Bahturin
Mikhail Zaicev
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Group gradings on integral group rings
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2006
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Yuri Bahturin
M. M. Parmenter
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(Z/2Z x Z/2Z)-symmetric spaces
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2006
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Yuri Bahturin
Michel Goze
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Involutions on graded matrix algebras
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2006
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Yuri Bahturin
Mikhail Zaicev
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Large Restricted Lie Algebras
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2006
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Yuri Bahturin
Alexander Olshanskii
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Group gradings on associative superalgebras
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2006
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Yuri Bahturin
I. P. Shestakov
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Group Gradings on Simple Lie Algebras of Type "A"
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2005
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Yuri Bahturin
Mikhail Zaicev
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Finite dimensional graded simple algebras
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2005
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Yuri Bahturin
Surinder K. Sehgal
Mikhail Zaicev
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Group graddings on Jordan algebras M(+)n
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2005
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Yuri Bahturin
I. P. Shestakov
Mikhail Zaicev
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Gradings on simple Jordan and Lie algebras
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2004
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Yuri Bahturin
I. P. Shestakov
Mikhail Zaicev
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Casimir Elements for Some Graded Lie Algebras and Superalgebras
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2004
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Yuri Bahturin
Alexander Molev
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Simple Lie subalgebras of locally finite associative algebras
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2004
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Yuri Bahturin
Alexander Baranov
Alexandre Zalesski
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Some Constructions in the Theory of Locally Finite Simple Lie Algebras
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2004
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Yuri Bahturin
Georgia Benkart
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Groups, Rings, Lie and Hopf Algebras
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2003
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Yuri Bahturin
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Generalized Lie Solvability of Associative Algebras
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2003
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Yuri Bahturin
Susan Montgomery
Mikhail Zaicev
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Graded polynomial identities of matrices
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2002
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Yuri Bahturin
Vesselin Drensky
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PDF
Chat
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Polycharacters of Cocommutative Hopf Algebras
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2002
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Yuri Bahturin
Mikhail Kochetov
Susan Montgomery
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Polynomial Identities in Smash Products
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2002
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Yuri Bahturin
Victor Petrogradsky
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SUMS OF SIMPLE AND NILPOTENT LIE SUBALGEBRAS
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2002
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Yuri Bahturin
M. Tvalavadze
T. Tvalavadze
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GRADINGS OF SIMPLE JORDAN ALGEBRAS AND THEIR RELATION TO THE GRADINGS OF SIMPLE ASSOCIATIVE ALGEBRAS
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2001
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Yuri Bahturin
I. P. Shestakov
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Bicharacters, Twistings, and Scheunert's Theorem for Hopf Algebras
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2001
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Yuri Bahturin
Davida Fischman
Susan Montgomery
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Algebra
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2000
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Yuri Bahturin
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Infinite-dimensional lie superalgebras
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2000
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Yuri Bahturin
Alexander A. Mikhalev
Mikhail Zaicev
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Pi-envelopes of Lie superalgebras
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1999
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Yuri Bahturin
Susan Montgomery
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PDF
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$G$-identities on associative algebras
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1999
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Yuri Bahturin
Antonio Giambruno
Mikhail Zaicev
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On the lee and associative codimensions growth
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1999
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Yuri Bahturin
Сергей Петрович Мищенко
Amitai Regev
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$G$-тождества неассоциативных алгебр
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1999
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Юрий Александрович Бахтурин
Yuri Bahturin
М. В. Зайцев
Mikhail Zaicev
Сударшан К Сегал
Surinder K. Sehgal
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Group-graded algebras with polynomial identity
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1998
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Yuri Bahturin
Antonio Giambruno
David M. Riley
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Identities of Graded Algebras
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1998
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Yuri Bahturin
Mikhail Zaicev
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Identities of Algebras with Actions of Hopf Algebras
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1998
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Yuri Bahturin
V. Linchenko
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Symmetric identities in graded algebras
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1997
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Yuri Bahturin
Antonio Giambruno
Mikhail Zaicev
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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)
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1997
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Yuri Bahturin
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On the generalized Lie structure of associative algebras
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1996
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Yuri Bahturin
Davida Fischman
Susan Montgomery
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Centers of enveloping algebras for locally finite-dimensional simple lie algebras
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1996
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Yuri Bahturin
I.A. Yanson
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Rigidity of free algebras in varieties of lie algebras
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1996
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Yuri Bahturin
Dušan Pagon
Mikhail Zaicev
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On Lie Algebras with Wild Automorphisms
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1995
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Yuri Bahturin
Vladimir Shpilrain
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Some examples of locally finite simple Lie algebras
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1995
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Yuri Bahturin
Helmut Strade
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Universal sums of abelian subalgebras
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1995
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Yuri Bahturin
Otto H. Kegel
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Identities of sums of commutative subalgebras
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1994
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Yuri Bahturin
Antonio Giambruno
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Homological Algebra
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1993
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Yuri Bahturin
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Commutative Algebra
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1993
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Yuri Bahturin
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Algebraic Groups
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1993
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Yuri Bahturin
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Lie Algebras
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1993
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Yuri Bahturin
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Associative Rings
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1993
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Yuri Bahturin
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Basic Structures of Modern Algebra
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1993
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Yuri Bahturin
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Infinite Dimensional Lie Superalgebras
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1992
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Yuri Bahturin
Alexander A. Mikhalev
Victor Petrogradsky
Mikhail Zaicev
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Automorphisms and derivations of abelian extensions of some lie algebras
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1992
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Yuri Bahturin
S. Nabiyev
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Identical Relations in Lie Algebras
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1986
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Yuri Bahturin
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On Lie subalgebras of associative PI-algebras
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1980
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Yuri Bahturin
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On Homomorphisms of Soluble Lie Algebras
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1979
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Yuri Bahturin
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On Identical Relations in Free Polynilpotent Lie Algebras
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1979
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Yuri Bahturin
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