Identities and isomorphisms of finite-dimensional graded simple algebras

Bianchi, Angelo; Diniz, Diogo

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Identities and isomorphisms of finite-dimensional graded simple algebras

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Author(s):	Bianchi, Angelo ^[1] ; Diniz, Diogo ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Sao Paulo, Inst Ciencia & Tecnol, BR-12247014 Sao Jose Dos Campos, SP - Brazil ^[2] Univ Fed Campine Grande, Unidade Acad Matemat, BR-58429970 Campina Grande, PB - Brazil Total Affiliations: 2
Document type:	Journal article
Source:	Journal of Algebra; v. 526, p. 333-344, MAY 15 2019.
Web of Science Citations:	1
Abstract
Let F be an algebraically closed field, G be an abelian group, and let U and V be arbitrary finite-dimensional G-graded simple algebras over F. We prove that U and V are isomorphic as graded algebras if, and only if, they satisfy the same graded polynomial identities. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	14/09310-5 - Algebraic structures and their representations
Grantee:	Vyacheslav Futorny
Support Opportunities:	Research Projects - Thematic Grants

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