| Texto completo | |
| Autor(es): |
Pozhidaev, A. P.
[1]
Número total de Autores: 1
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| Afiliação do(s) autor(es): | [1] Sobolev Inst Math, Novosibirsk - Russia
Número total de Afiliações: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | SIBERIAN MATHEMATICAL JOURNAL; v. 50, n. 6, p. 1070-1080, NOV 2009. |
| Citações Web of Science: | 9 |
| Resumo | |
We describe all homogeneous structures of Rota-Baxter algebras on a 0-dialgebra with associative bar-unity and give a corollary on the structure of a Rota-Baxter algebra on an arbitrary associative dialgebra with bar-unity as well as a unital associative conformal algebra. We prove that an arbitrary alternative dialgebra may be embedded into an alternative dialgebra with associative barunity. We suggest the definition of variety of dialgebras in the sense of Eilenberg which is equivalent to that introduced earlier by Kolesnikov. (AU) | |
| Processo FAPESP: | 08/50142-8 - Alexander Pozhidaev | Instituto de Matemática Sobolev, SBRAS - Rússia |
| Beneficiário: | Ivan Chestakov |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |