| Texto completo | |
| Autor(es): |
Murakami, Lucia S. I.
;
Nascimento, Pablo S. M.
;
Shestakov, Ivan
;
da Silva, Juaci Picanco
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of Algebra; v. 644, p. 17-pg., 2024-01-26. |
| Resumo | |
The classification of irreducible unital commutative powerassociative modules for Hn(F), the algebra of symmetric matrices with the Jordan product, over a field F of characteristic not 2, 3 and 5 are given, for n >= 3. It is proved that there exists, up to isomorphisms, only one irreducible module which is not Jordan. It is also shown that every finite dimensional unital commutative power associative module for this algebra is completely reducible. (c) 2024 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 |