Characterization of a special case of hom-Lie superalgebra

In this paper, we introduce the notion of sympathetic hom-Lie superalgebras. We prove some results on sympathetic multiplicative hom-Lie superalgebras with surjective α. In particular, we find some equivalence condition in which a sympathetic graded hom-ideal is direct factor of multiplicative hom-Lie superalgebra.

کلیدواژه ها:

hom-Lie superalgebra ، sympathetic hom-Lie superalgebra ، multiplicative hom-Lie superalgebra