| Texto completo | |
| Autor(es): |
Fidelis, Claudemir
Número total de Autores: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | TURKISH JOURNAL OF MATHEMATICS; v. 46, n. 5, p. 15-pg., 2022-01-01. |
| Resumo | |
The main purpose of this paper is to provide a survey of results concerning the Z-gradings on the infinitedimensional Grassmann algebra E over a field of characteristic zero. First, we provide graded identities and central polynomials for E equipped with fine gradings on E by the semigroup (Z*, x). We also describe briefly techniques in order to illustrate some important methods to exhibit graded identities and central polynomials of E for other abelian groups. In particular, over a field of characteristic zero, so-called 2-induced gradings of full support were considered. In order to obtain these descriptions, we strongly use elementary number theory as a tool, providing an interesting connection between this area and PI-Theory. (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 |