Ideal and Factor Conditions for Crossed Modules and Algebra-Algebroids

In this paper, using the equivalence between category of crossed modules algebras and algebra-algebroids, we will explore notions ideality factors for these algebraic structures. We give structure a two sided ideal an algebra-algebroid notion quotient algebra-algebroid. By considering algebra-algebroid, show that module corresponding to is Conversely, by taking module, also module.