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|Type:||Artigo de periódico|
|Title:||On the *-polynomial identities of M-1,M-1(E)|
|Author:||Di Vincenzo, OM|
|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.|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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