Rota-Baxter type operators on group algebras of positive characteristic
Sufficient conditions for isomorphism between isotopes of nonassociative algebras
Mikhail Vladimirovich Zaicev | Moscow State University - Rússia
| Full text | |
| Author(s): |
Pozhidaev, A. P.
[1]
Total Authors: 1
|
| Affiliation: | [1] Sobolev Inst Math, Novosibirsk - Russia
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | SIBERIAN MATHEMATICAL JOURNAL; v. 50, n. 6, p. 1070-1080, NOV 2009. |
| Web of Science Citations: | 9 |
| Abstract | |
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) | |
| FAPESP's process: | 08/50142-8 - Alexander Pozhidaev | Sobolev Institute of Mathematics, SBRAS - Russia |
| Grantee: | Ivan Chestakov |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |