| Texto completo | |
| Autor(es): |
Ismailov, Nurlan
;
Shestakov, Ivan
;
Zhang, Zerui
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | COMMUNICATIONS IN ALGEBRA; v. 52, n. 12, p. 13-pg., 2024-06-24. |
| Resumo | |
We construct linear bases for free commutative two-step-associative algebras and study their automorphisms. It turns out that every automorphism of a polynomial algebra without unit can be lifted to an automorphism of a free commutative two-step-associative algebra. Moreover, for any n >= 2, a wild automorphism is constructed for the n-generated free commutative two-step-associative algebra which is not stably tame and cannot be lifted to an automorphism of the n-generated free commutative nonassociative algebra. (AU) | |
| Processo FAPESP: | 17/21429-6 - Os problemas estruturais de álgebras de Zinbiel-Lie e de Novikov-Jordan |
| Beneficiário: | Nurlan Ismailov |
| 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 |