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Your search keyword '"Yuri Bahturin"' showing total 2 results
Start Over Author "Yuri Bahturin" Topic automorphisms
2 results on '"Yuri Bahturin"'

1. Gradings on simple algebras of finitary matrices

Author

Yuri Bahturin and Mikhail Zaicev

Subjects
17B20, 17B40, 16W10, 16W50, Pure mathematics, Automorphisms, Algebra and Number Theory, 010102 general mathematics, Zero (complex analysis), Mathematics - Rings and Algebras, 010103 numerical & computational mathematics, 16. Peace & justice, Automorphism, 01 natural sciences, Matrix algebras, Graded algebras, Rings and Algebras (math.RA), Simple (abstract algebra), FOS: Mathematics, Mathematics::Metric Geometry, Finitary, 0101 mathematics, Abelian group, Algebraically closed field, Associative property, Mathematics
Abstract

We describe gradings by finite abelian groups on the associative algebras of infinite matrices with finitely many nonzero entries, over an algebraically closed field of characteristic zero.

Published
2010

2. Lie superautomorphisms on associative algebras.

Author

Yuri Bahturin and Matej Bresar

Subjects
*LIE algebras, *AUTOMORPHISMS, *ASSOCIATIVE algebras, *MATHEMATICAL mappings, *IDEMPOTENTS, *MATHEMATICAL analysis
Abstract

The results on Lie homomorphisms of associative algebras are extended to certain associative superalgebras. It is shown that under appropriate conditions a Lie superautomorphism of $A=A_0oplus A_1$ is a sum of a superautomorphism or the negative of a superantiautomorphism and a central map. In particular we consider the situation when $A$ is a central simple algebra and its $mathbb Z_2$-grading is induced by an idempotent. [ABSTRACT FROM AUTHOR]

Published
2009
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