0-dialgebras with bar-unity and nonassociative Rota-Baxter algebras Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2009, Volume: 50, Number: 6, Pages: 1070-1080 Pages count : 11 DOI: 10.1007/s11202-009-0118-0 | ||
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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.
Cite:
Pozhidaev A.P.
0-dialgebras with bar-unity and nonassociative Rota-Baxter algebras
Siberian Mathematical Journal. 2009. V.50. N6. P.1070-1080. DOI: 10.1007/s11202-009-0118-0 WOS Scopus РИНЦ OpenAlex
0-dialgebras with bar-unity and nonassociative Rota-Baxter algebras
Siberian Mathematical Journal. 2009. V.50. N6. P.1070-1080. DOI: 10.1007/s11202-009-0118-0 WOS Scopus РИНЦ OpenAlex
Original:
Пожидаев А.П.
0-ДИАЛГЕБРЫ С БАР-ЕДИНИЦЕЙ И НЕАССОЦИАТИВНЫЕ АЛГЕБРЫ РОТА - БАКСТЕРА
Сибирский математический журнал. 2009. Т.50. №6. С.1356-1369. РИНЦ
0-ДИАЛГЕБРЫ С БАР-ЕДИНИЦЕЙ И НЕАССОЦИАТИВНЫЕ АЛГЕБРЫ РОТА - БАКСТЕРА
Сибирский математический журнал. 2009. Т.50. №6. С.1356-1369. РИНЦ
Identifiers:
| Web of science: | WOS:000273176200015 |
| Scopus: | 2-s2.0-74549130050 |
| Elibrary: | 15300711 |
| OpenAlex: | W2073474730 |