| Texto completo | |
| Autor(es): |
Ioppolo, Antonio
;
Koshlukov, Plamen
;
La Mattina, Daniela
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Pure and Applied Algebra; v. 225, n. 2, p. 20-pg., 2021-02-01. |
| Resumo | |
In this paper we study algebras with trace and their trace polynomial identities over a field of characteristic 0. We consider two commutative matrix algebras: D-2, the algebra of 2 x 2 diagonal matrices and C-2, the algebra of 2 x 2 matrices generated by e(11) + e(22) and e(12). We describe all possible traces on these algebras and we study the corresponding trace codimensions. Moreover we characterize the varieties with trace of polynomial growth generated by a finite dimensional algebra. As a consequence, we see that the growth of a variety with trace is either polynomial or exponential. (C) 2020 Elsevier B.V. All rights reserved. (AU) | |
| Processo FAPESP: | 18/17464-3 - Identidades polinomiais e superinvoluções |
| Beneficiário: | Antonio Ioppolo |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |
| Processo FAPESP: | 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |