Actor crossed modules of commutative algebras

This thesis based on Actor Crossed Modules of Commutative Algebras consists of fivechapters. In the firt chapter, we recall the elementary important notion of this work. In thesecond chapter, an actor of crossed module of commutatıve algebras is defined in terms ofmultiplication of crossed module. In the third chapter we defined that an annihilator of a crossedmodule. In the fourth chapter we give the semi-direct product of crossed modules and an actionof one crossed module on another. In the following chapter we give a crossed square andhypercrossed complex pairings.