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Type: Artigo de periódico
Title: Identities and isomorphisms of graded simple algebras
Author: Koshlukov, P
Zaicev, M
Abstract: Let G be an arbitrary abelian group and let A and B be two finite dimensional G-graded simple algebras over an algebraically closed field F such that the orders of all finite subgroups of G are invertible in F. We prove that A and B are isomorphic if and only if they satisfy the same G-graded identities. We also describe all isomorphism classes of finite dimensional G-graded simple algebras. (C) 2010 Elsevier Inc. All rights reserved.
Subject: Graded simple algebras
Gradings on associative algebras
Graded division algebras
Graded isomorphisms
Graded identities
Polynomial identities
Country: EUA
Editor: Elsevier Science Inc
Citation: Linear Algebra And Its Applications. Elsevier Science Inc, v. 432, n. 12, n. 3141, n. 3148, 2010.
Rights: fechado
Identifier DOI: 10.1016/j.laa.2010.01.010
Date Issue: 2010
Appears in Collections:Unicamp - Artigos e Outros Documentos

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