Fuzzy Hom-Lie Ideals of Hom-Lie Algebras

Abstract

In this paper, we introduce the concept of fuzzy Hom-Lie subalgebras (ideals) of Hom-Lie algebras and we investigate some of their properties. We study the relationship between fuzzy Hom-Lie subalgebras (resp. ideals) and Hom-Lie subalgebras (resp. ideals). For a finite number of fuzzy Hom-Lie subalgebras, we construct a new fuzzy hom-Lie subalgebras on their direct sum. Finally, The properties of fuzzy Hom-Lie subalgebras and fuzzy Hom-Lie ideals under morphisms of Hom-Lie algebras are studied.

Fuzzy Hom–Lie Ideals of Hom–Lie Algebras

“…In recent years, Hom-Lie algebras have turned into a stimulating area of physics and mathematics. For further deliberations concerning Hom-Lie algebras, we refer the reader to [15][16][17][18][19][20][21].…”