On n-Hom-Leibniz algebras and cohomology

TL;DR

This paper develops a cohomology theory for n-Hom-Leibniz algebras, explores higher operations on cohomology spaces, and investigates their deformations, advancing the understanding of their algebraic structure.

Contribution

It introduces a cohomology framework for n-Hom-Leibniz algebras and examines higher operations and deformation theory within this context.

Findings

Established a cohomology theory for n-Hom-Leibniz algebras

Analyzed higher operations on cohomology spaces

Studied deformations of n-Hom-Leibniz algebras

Abstract

The purpose of this paper is to provide a cohomology of $n$-Hom-Leibniz algebras. Moreover, we study some higher operations on cohomology spaces and deformations.