Isomorphism theorems in 𝟐−crossed modules and morphisms of commutative algebras

Isomorphism Theorems have an important place in group and algebra theories, and the isomorphism theorems for algebras form the basis of many known structures. The cros-sed module concept that Whitehead describes for groups is an important algebraic structure. The beginning of this thesis is about the isomorphism theorems of crossed modules in com-mutative algebras and gives a general perspective. The aim of this thesis study is to investigate the existence of all three isomorphism theorems of 2−crossed modules on commutative algebras and the relationship between these structures. Thus, basic structures in algebraic theory and algebraic topology will actu-ally guide the current structures by shedding important light on the discovery of many new topics.