On Graded Central Polynomials of the Graded Algebra M₂(E)

Abstract

By considering E the infinite dimensional Grassmann algebra over a field of characteristic zero and the T-prime algebra M = M ₂(E) with the ℤ₂-grading , in this article we describe the space of the graded central polynomials modulo the ideal of the graded identities of M.

Key Words:

• Central polynomials
• Graded identities
• Grassmann algebra

2000 Mathematics Subject Classification:

• Primary 16R10
• Secondary 16W50, 15A75

ACKNOWLEDGMENT

The author would like to thank Prof. A. C. Vieira for useful suggestions given during the elaboration of this article.

Notes

Communicated by I. Shestakov.