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Type: Artigo de periódico
Title: Gradings on the algebra of upper triangular matrices and their graded identities
Author: Di Vincenzo, OM
Koshlukov, P
Valenti, A
Abstract: Let K be an infinite field and let UTn(K) denote the algebra of n x n upper triangular matrices over K. We describe all elementary gradings on this algebra. Further we describe the generators of the ideals of graded polynomial identities of UTn(K) and we produce linear bases of the corresponding relatively free graded algebras. We prove that one can distinguish the elementary gradings by their graded identities. We describe bases of the graded polynomial identities in several "typical" cases. Although in these cases we consider elementary gradings by cyclic groups, the same methods serve for elementary gradings by any finite group. (C) 2004 Elsevier Inc. All rights reserved.
Subject: graded identities
elementary grading
upper triangular matrices
Country: EUA
Editor: Academic Press Inc Elsevier Science
Citation: Journal Of Algebra. Academic Press Inc Elsevier Science, v. 275, n. 2, n. 550, n. 566, 2004.
Rights: fechado
Identifier DOI: 10.1016/j.jalgebra.2003.09.004
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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