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- W3132380936 abstract "In this paper, we introduce the class of split regular Hom-Leibniz–Poisson color algebras as the natural generalization of split regular Hom-Leibniz algebras, split regular Hom-Poisson algebras and split regular Hom-Leibniz–Poisson superalgebras. By developing techniques of connections of roots for this kind of algebras, we show that such a split regular Hom-Leibniz–Poisson color algebra [Formula: see text] is of the form [Formula: see text], with [Formula: see text] a subspace of the abelian sub algebra [Formula: see text] and any [Formula: see text] a well-described ideal of [Formula: see text], satisfying [Formula: see text] if [Formula: see text] Under certain conditions, in the case of [Formula: see text] being of maximal length, the simplicity and the primeness of the algebra is characterized and it is shown that [Formula: see text] is the direct sum of the family of its minimal ideals, each one being a simple split regular Hom-Leibniz–Poisson color algebra." @default.
- W3132380936 created "2021-03-01" @default.
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- W3132380936 date "2021-04-13" @default.
- W3132380936 modified "2023-09-23" @default.
- W3132380936 title "The structure of split regular Hom-Leibniz–Poisson color algebras" @default.
- W3132380936 doi "https://doi.org/10.1142/s1793557122500231" @default.
- W3132380936 hasPublicationYear "2021" @default.
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