Z-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials

Autor(es)

Fideles, Claudemir ; Guimaraes, Alan

• Tipo de documento: Artigo Científico
• Fonte: INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION; v. 33, n. 08, p. 23-pg., 2023-11-09.

Resumo

Let E be the infinite-dimensional Grassmann algebra over an infinite field F of characteristic different from 2. The main purpose of this paper is to describe the T-Z-ideal of the graded polynomial identities and the T-Z-space of the central polynomials of E equipped with its 2 and 3-induced Z-gradings. Therefore, we generalize the results of [A. Brandao, C. Fidelis and A. Guimaraes, Z-gradings of full support on the Grassmann algebra, J. Algebra 601 (2022) 332-353; C. Fidelis, A. Guimaraes and P. Koshlukov, A note on Z-gradings on the Grassmann algebra and elementary number theory, Linear Multilinear Algebra 71(7) (2023) 1244-1264] in the PI theory context. (AU)

• Processo FAPESP: 23/04011-9 - Estrutura de álgebra graduadas e/ou com traço, e teoria dos Invariantes
• Beneficiário: Claudemir Fideles Bezerra Júnior
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 19/12498-0 - Identidades polinomiais graduadas e com traço, e teoria dos invariantes
• Beneficiário: Claudemir Fideles Bezerra Júnior
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado