Gruplar ve Cebirler Üzerinde Çaprazlanmış Modüller

Abstract

This thesis consists of three chapters. In the ¯rst chapter we recalled basicde¯nitions, theorems and examples which are necessary for the rest of the thesis.In the second chapter, we introduced concept of crossed module of groups withde¯nitions, theorems and examples in detail. This concept is based on action andhomomorphism between groups. Subcrossed and normal subcrossed modules aremain issues in this chapter.In the third chapter we studied crossed modules of algebras which is main issueof this thesis. The concepts related with crossed modules of groups which areintroduced in the second chapter are applied to crossed modules of algebras.KEY WORDS:Action, Module, Algebra, Crossed Module, Crossed Squares.