Abstract

The purpose of this paper, is to introduce a new concepts which are induced n-Bi-Hom -Lie algebra, -Center, ( , ) -Center, ( , ) Hom - derivation, ( , ) Q-Hom , ( , ) Central Hom - derivation, ( , ) Hom - Centroid and give the condition to construct induced n- Bi-Hom -Lie algebra, studied Generalized Hom -derivations on direct sum of ideals and we studied the relation between Hom , Hom and Q Hom , Q Hom , G Hom .

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