| Texto completo | |
| Autor(es): |
Parada, Jonatan Andres Gomez
;
Koshlukov, Plamen
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Algebra; v. 674, p. 34-pg., 2025-07-15. |
| Resumo | |
Let K(X) be the free associative algebra freely generated over the field K by the countable set X = {x1,x2,...}. If A is an associative K-algebra, we say that a polynomial f (x1, ... , xn) E K(X) is a polynomial identity, or simply an identity in A if f (a1, ... , an) = 0 for every a1, ... , an E A. Consider A the subalgebra of UT3(K) given by: A = K(e1,1 + e3,3) Ke2,2 Ke2,3 Ke3,2 Ke1,3, where ei,j denote the matrix units. We investigate the gradings on the algebra A, determined by an abelian group, and prove that these gradings are elementary. Furthermore, we compute a basis for the Z2-graded identities of A, and also for the Z2-graded identities with graded involution. Moreover, we describe the cocharacters of this algebra. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| Processo FAPESP: | 18/23690-6 - Estruturas, representações e aplicações de sistemas algébricos |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |