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Type: Artigo
Title: Graded A-identities For The Matrix Algebra Of Order Two
Author: Brandao
Antonio Pereira
Jr.; Goncalves
Dimas Jose; Koshlukov
Abstract: Let F be a field of characteristic 0 and let R = M-2(F). The algebra R admits a natural grading R = R-0 circle plus R-1 by the cyclic group Z(2) of order 2. In this paper, we describe the Z(2)-graded A-identities for R. Recall that an A-identity for an algebra is a multilinear polynomial identity for that algebra which is a linear combination of the monomials x(sigma)(1) . . . x(sigma)(n) where sigma runs over all even permutations of {1,..., n} that is sigma is an element of A(n), the nth alternating group. We first introduce the notion of an A-identity in the case of graded polynomials, then we describe the graded A-identities for R, and finally we compute the corresponding graded A-codimensions.
Subject: Graded Algebras
Graded Polynomial Identities
Editor: World Scientific Publ CO PTE LTD
Rights: fechado
Identifier DOI: 10.1142/S0218196716500715
Date Issue: 2016
Appears in Collections:Unicamp - Artigos e Outros Documentos

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