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|Type:||Artigo de periódico|
|Title:||Graded Central Polynomials For T -prime Algebras|
Brandao Jr. A.P.
|Abstract:||Let K be a field, char K = 0, and let E = E 0 ⊕ 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 = ⊕ g∈GR (g) is a G-graded K-algebra, then the algebra R ⊗ E can be G × ℤ 22-graded by setting (R ⊗ E) (g,i) = R (g) ⊗ E i. In this article we describe the graded central polynomials for the T-prime algebras M n(E) ≅ M n(K) ⊗ E. As a corollary we obtain the graded central polynomials for the algebras M a,b(E) ⊗ E. As an application, we determine the ℤ 2-graded identities and central polynomials for E ⊗ E. © Taylor & Francis Group, LLC.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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