It shown that the supercommutator superalgebra of a right alternative is Bol superalgebra. Hom-Bol superalgebras are defined and it they closed under even self-morphisms. Any along with any self-morphism twisted into The Hom-alternative has natural structure. In order to prove this last result, Hom-Jordan-admissibility investigated next Hom-Jordan supertriple systems their connection Hom-Lie co...

In the given study, we intended to gain familiarity with idea of fuzzy Hom–Lie subalgebras (ideals) algebras. It primarily seeks study a few their properties. This research investigates relationship between and (ideals). Additionally, this constructs new based on direct sum finite number existing ones. Finally, properties ideals are examined in context morphisms