| Texto completo | |
| Autor(es): |
Guimaraes, Alan
;
Fidelis, Claudemir
;
Dias, Laise
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Linear Algebra and its Applications; v. 609, p. 25-pg., 2021-01-15. |
| Resumo | |
Let F be an infinite field of characteristic p different from 2 and let E be the Grassmann algebra generated by an infinite dimensional vector space L over F. In this paper we provide, for any odd prime q, a finite basis for the T-q-ideal of the Z(q) -graded polynomial identities for E and a basis for the T-q space of graded central polynomials for E, for any Z(q)-grading on E such that L is homogeneous in the grading. Moreover, we prove that the set of all graded central polynomials of E is not finitely generated as a T-q-space, if p > 2. In the nonhomogeneous case such bases are also described when at least one non-neutral component has infinite many homogeneous elements of the basis of L in the respective grading. (C) 2020 Elsevier Inc. All rights reserved. (AU) | |
| 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 |