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 |
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Число страниц | 16 |
Журнал | Linear and Multilinear Algebra |
Ранняя дата в режиме онлайн | 20 сен 2020 |
DOI | |
Состояние | Электронная публикация перед печатью - 20 сен 2020 |