| Texto completo | |
| Autor(es): |
Gargate, Ivan Gonzales
;
de Mello, Thiago Castilho
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Linear Algebra and its Applications; v. 674, p. 13-pg., 2023-10-01. |
| Resumo | |
In this paper we consider images of (ordinary) non-commutative polynomials on matrix algebras endowed with a graded structure. We give necessary and sufficient conditions to verify that some multilinear polynomial is a central polynomial, or a trace zero polynomial, and we use this approach to present an equivalent statement to the Lvov-Kaplansky conjecture. (c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| Processo FAPESP: | 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |