ℤ2 and ℤ-graded central polynomials of the Grassmann algebra-Reference-Cited by-同舟云学术

ℤ2 and ℤ-graded central polynomials of the Grassmann algebra

Published:2020-03-12 Issue:05 Volume:30 Page:1035-1056
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Guimarães Alan De Araújo¹,Fidelis Claudemir²,Koshlukov Plamen³

Affiliation:

1. Departamento de Matemática, Universidade Federal do Rio Grande do Norte, Natal, RN, 59078-970, Brazil

2. Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, Campina Grande, PB 58429-970, Brazil

3. Department of Mathematics, State University of Campinas, Campinas, SP 13083-859, Brazil

Abstract

Let [Formula: see text] be an infinite field of characteristic different from 2, and let [Formula: see text] be the Grassmann algebra of a countable of dimensional [Formula: see text]-vector space [Formula: see text]. In this paper, we study the graded central polynomials of gradings on [Formula: see text] by the groups [Formula: see text] and [Formula: see text], where the basis of the vector space [Formula: see text] is homogeneous. More specifically, we provide a basis for the [Formula: see text]-space of graded central polynomials for [Formula: see text], where the group [Formula: see text] is [Formula: see text] and [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196720500290

Reference18 articles.

1. THE CENTRAL POLYNOMIALS OF THE INFINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS

2. The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field

3. The central polynomials for the Grassmann algebra

4. Z2-graded identities of the Grassmann algebra in positive characteristic

5. On Z2-graded polynomial identities of the Grassmann algebra

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