On The Set Of Exact Sequence Of Monoids Semi-direct Product

This thesis consisits of two chapters.In chapter 1, we study the exact sequences on sets. As a result, the Graph Chasing, the Five Lemma , the Horseshoe Lemma in module theory are generalized.In chapter 2, we review the semidirect product of monoids. A characterization for a semidirect product of monoids to be completely simple is given and a sufficient condition for a semidirect product of monoids to be completely regular is also obtained.