Dialgebras and related triple systems Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2008, Volume: 49, Number: 4, Pages: 696-708 Pages count : 13 DOI: 10.1007/s11202-008-0067-z | ||
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Abstract:
We consider some algebraical systems that lead to various nearly associative triple systems. We deal with a class of algebras which contains Leibniz-Poisson algebras, dialgebras, conformal algebras, and some triple systems. We describe all homogeneous structures of ternary Leibniz algebras oil a dialgebra. For this purpose, in particular, we use the Leibniz-Poisson structure oil a dialgebra. We then find a corollary describing the structure of a Lie triple system on ail arbitrary dialgebra, a conformal associative algebra and a classical associative triple system. We also describe all homogeneous structures of ail (epsilon, delta)-Freudenthal-Kantor triple system on a dialgebra.
Cite:
Pozhidaev A.P.
Dialgebras and related triple systems
Siberian Mathematical Journal. 2008. V.49. N4. P.696-708. DOI: 10.1007/s11202-008-0067-z WOS Scopus РИНЦ OpenAlex
Dialgebras and related triple systems
Siberian Mathematical Journal. 2008. V.49. N4. P.696-708. DOI: 10.1007/s11202-008-0067-z WOS Scopus РИНЦ OpenAlex
Original:
Пожидаев А.П.
ДИАЛГЕБРЫ И СВЯЗАННЫЕ С НИМИ ТРОЙНЫЕ СИСТЕМЫ
Сибирский математический журнал. 2008. Т.49. №4. С.870-885. РИНЦ
ДИАЛГЕБРЫ И СВЯЗАННЫЕ С НИМИ ТРОЙНЫЕ СИСТЕМЫ
Сибирский математический журнал. 2008. Т.49. №4. С.870-885. РИНЦ
Identifiers:
| Web of science: | WOS:000258913200013 |
| Scopus: | 2-s2.0-51549116450 |
| Elibrary: | 13577808 |
| OpenAlex: | W2068250605 |