| Texto completo | |
| Autor(es): |
Shestakov, Ivan
;
Gueye, CT
;
Molina, MS
Número total de Autores: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | NON-ASSOCIATIVE AND NON-COMMUTATIVE ALGEBRA AND OPERATOR THEORY, NANCAOT; v. 160, p. 5-pg., 2016-01-01. |
| Resumo | |
Recently Anquela et al. (Trans. AMS 366(11): 5877-5902, 2014) proved that for elements x,y in a non-degenerate Jordan algebra J, the relation x omicron y = 0 implies that the U-operators of x and y commute: UxUy = UyUx. We show that the result may be not true without the assumption on non-degeneracity of J. We give also a more simple proof of the mentioned result in the case of linear Jordan algebras, that is, when char F not equal 2. (AU) | |
| Processo FAPESP: | 14/09310-5 - Estruturas algébricas e suas representações |
| Beneficiário: | Vyacheslav Futorny |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |