GRADED CENTRAL POLYNOMIALS FOR T-PRIME ALGEBRAS

Author(s)

Alves, Sergio M. ^[1] ; Brandao, Jr., Antonio P. ^[1] ; Koshlukov, Plamen ^[2]

Affiliation

^[1] Univ Fed Campina Grande, UAME CCT, Campina Grande, PB - Brazil

^[2] Univ Estadual Campinas, IMECC, BR-13083970 Campinas, SP - Brazil

• Document type: Journal article
• Source: COMMUNICATIONS IN ALGEBRA; v. 37, n. 6, p. 2008-2020, 2009.
• Web of Science Citations: 2

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. (AU)

• FAPESP's process: 05/60337-2 - Lie and Jordan algebras, their representations and generalizations
• Grantee: Ivan Chestakov
• Support Opportunities: Research Projects - Thematic Grants