Ω-Algebras with split products

Aleksandr P. Pozhidaev

doi:10.1080/03081087.2020.1822273

Ω-Algebras with split products

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We introduce Ω-sp-algebras as a generalization of dialgebras to the case of Ω-algebras. Given a variety of algebras (Formula presented.), we provide a criterion for an Ω-sp-algebra to be a (Formula presented.) -sp-algebra. We give examples of Ω-sp-algebras such as associative sp-systems, ternary Filippov sp-algebras, Lie triple sp-systems, and Bol sp-algebras. We prove a lifting theorem for the term functor and the triviality of every simple Ω-sp-algebra.

Язык оригинала	английский
Число страниц	16
Журнал	Linear and Multilinear Algebra
Ранняя дата в режиме онлайн	20 сен 2020
DOI	https://doi.org/10.1080/03081087.2020.1822273
Состояние	Электронная публикация перед печатью - 20 сен 2020

Доступ к документу

10.1080/03081087.2020.1822273

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