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Graded central polynomials for the algebra M n (K)

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Abstract

Let M n (K) be the algebra of all n × n matrices over an infinite field K. This algebra has a natural ℤ n -grading and a natural ℤ-grading. Finite bases for its ℤ n -graded identities and for its ℤ-graded identities are known. In this paper we describe finite generating sets for the ℤ n -graded and for the ℤ-graded central polynomials for M n (K)

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Authors and Affiliations

  1. UAME/CCT, UFCG, P.O.Box 10044, 58109-970, Campina Grande, PB, Brazil

    Antônio Brandão Jr.

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  1. Antônio Brandão Jr.
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Correspondence to Antônio Brandão Jr..

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Partially supported by CNPq 620025/2006-9

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Brandão, A. Graded central polynomials for the algebra M n (K). Rend. Circ. Mat. Palermo 57, 265–278 (2008). https://doi.org/10.1007/s12215-008-0019-2

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  • DOI: https://doi.org/10.1007/s12215-008-0019-2

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