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|Type:||Artigo de periódico|
|Title:||On The *-polynomial Identities Of M1,1(e)|
|Author:||Di Vincenzo O.M.|
|Abstract:||In this paper we consider the algebra M1,1(E) endowed with the involution * induced by the transposition superinvolution of the superalgebra M1,1(F) of 2×2-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 Mn(E), the algebra of n×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 Mk,l(E). © 2010 Elsevier B.V.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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