Z(2) and Z-graded central polynomials of the Grassmann algebra

Autor(es)

Guimaraes, Alan De Araujo ; Fidelis, Claudemir ; Koshlukov, Plamen

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 30, n. 5, p. 22-pg., 2020-08-01.

Resumo

Let F be an infinite field of characteristic different from 2, and let E be the Grassmann algebra of a countable of dimensional F-vector space L. In this paper, we study the graded central polynomials of gradings on E by the groups Z(2) and Z, where the basis of the vector space L is homogeneous. More specifically, we provide a basis for the T-G-space of graded central polynomials for E, where the group G is Z(2) and Z. (AU)

• Processo FAPESP: 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático