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Type: Artigo de periódico
Title: On the *-polynomial identities of M-1,M-1(E)
Author: Di Vincenzo, OM
Koshlukov, P
Abstract: In this paper we consider the algebra M-1,M-1(E) endowed with the involution * induced by the transposition superinvolution of the superalgebra M-1,M-1(F) of 2 x 2-matrices over the field F. We study the *-polynomial identities for this algebra in the case of characteristic zero. We describe a finite set generating the ideal of its *-identities. We also consider M-n(E), the algebra of n x n matrices over the Grassmann algebra E. We prove that for a large class of involutions defined on it any *-polynomial identity is indeed a polynomial identity. A similar result holds for the verbally prime algebra M-k,M-l(E). (C) 2010 Elsevier B.V. All rights reserved.
Country: Holanda
Editor: Elsevier Science Bv
Rights: fechado
Identifier DOI: 10.1016/j.jpaa.2010.04.018
Date Issue: 2011
Appears in Collections:Unicamp - Artigos e Outros Documentos

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