Invisible installed2-crossed module of algebs andisomophism theorems for morphyms

This study consists of five parts. In the first part, literature information about 2-crossed modules of non-commutative associative algebras that will be required throughout the thesis is presented. In the second part, some basic algebraic expressions and theorems are given. In the third chapter, crossed modules of non-commutative associative algebras are discussed in detail, concepts such as subcrossed module, ideal, core and image of crossed module homomorphism, quotient crossed module are examined, and proofs of isomorphism theorems for crossed modules of algebras are given. In the fourth chapter, the previously given concepts are adapted for the 2-crossed modules of algebras and it is proved that the isomorphism theorems are still valid under the new definitions given. In the last section, the results obtained in the previous sections are given.