| Texto completo | |
| Autor(es): |
Ioppolo, Antonio
[1]
Número total de Autores: 1
|
| Afiliação do(s) autor(es): | [1] Univ Estadual Campinas, IMECC, Sergio Buarque Holanda 651, BR-13083859 Campinas, SP - Brazil
Número total de Afiliações: 1
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ALGEBRAS AND REPRESENTATION THEORY; v. 24, n. 6, p. 1415-1429, DEC 2021. |
| Citações Web of Science: | 1 |
| Resumo | |
Let A be a superalgebra endowed with a pseudoinvolution {*} over an algebraically closed field of characteristic zero. If A satisfies an ordinary non-trivial identity, then its graded {*}-codimension sequence c(n){*} (A), n = 1, 2,..., is exponentially bounded (Ioppolo and Martino (Linear Multilinear Algebra 66(11), 2286-2304 2018). In this paper we capture this exponential growth giving a positive answer to the Amitsur's conjecture for this kind of algebras. More precisely, we shall see that the lim(n ->infinity)root c(n){*}(A)) exists and it is an integer, denoted exp{*} (A) and called graded {*}-exponent of A. Moreover, we shall characterize superalgebras with pseudoinvolution according to their graded {*}-exponent. (AU) | |
| Processo FAPESP: | 18/17464-3 - Identidades polinomiais e superinvoluções |
| Beneficiário: | Antonio Ioppolo |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |