Identities and isomorphisms of graded simple algebras

Autor(es)

Koshlukov, Plamen ^[1] ; Zaicev, Mikhail ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Campinas, Dept Math, IMECC, BR-13083970 Campinas, SP - Brazil

^[2] Moscow MV Lomonosov State Univ, Dept Algebra, Fac Math & Mech, Moscow 119992 - Russia

• Tipo de documento: Artigo Científico
• Fonte: Linear Algebra and its Applications; v. 432, n. 12, p. 3141-3148, JUL 1 2010.
• Citações Web of Science: 15

Resumo

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. (AU)

• Processo FAPESP: 08/02938-8 - Mikhail Vladimirovich Zaicev | Moscow State University - Rússia
• Beneficiário: Plamen Emilov Kochloukov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional
• Processo FAPESP: 05/60337-2 - Álgebras de Lie e de Jordan, suas representações e generalizações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático