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|Type:||Artigo de periódico|
|Title:||GRADED CENTRAL POLYNOMIALS FOR T-PRIME ALGEBRAS|
|Abstract:||Let K be a field, char K = 0, and let E = E(0) circle plus E(1) be the Grassmann algebra of infinite dimension over K, equipped with its natural Z(2)-grading. If G is a finite abelian group and R = circle plus(g is an element of G) R((g)) is a G-graded K-algebra, then the algebra R circle times E can be G x Z(2)-graded by setting (R circle times E((g,i)) = R((g)) circle times E(i). In this article we describe the graded central polynomials for the T-prime algebras M(n)(E) congruent to M(n)(K) circle times E. As a corollary we obtain the graded central polynomials for the algebras M(a,b)(E) circle times E. As an application, we determine the Z(2)-graded identities and central polynomials for E circle times E.|
Graded central polynomials
|Editor:||Taylor & Francis Inc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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