Regev’s Conjecture and Codimensions of P.I. Algebras

被引:0
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作者
Alexei S. Gordienko
机构
[1] Moscow State University,Department of Algebra, Faculty of Mathematics and Mechanics
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关键词
Polynomial identities; Codimensions; Cocharacters; Regev’s conjecture; P.I. algebras; P.I. exponent; Commutator; Proper polynomial; Associative algebras; Clifford algebras; Grassmann envelope; 16R10; 05C90; 15A66; 16R40; 16W55; 20C30;
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摘要
We study the periodicity of the proper cocharacters and show that Regev’s conjecture holds in unitary algebras of P.I. exponent 2. Also we discuss the asymptotic behaviour of the codimensions and cocharacters of Clifford algebras and deal with other important examples of P.I. algebras.
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页码:33 / 55
页数:22
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