Right Principal Projective Semigroups With Right Adequate Transversals

In this thesis, right principal projective semigroups with right adequate tansversals are studied. The thesis is divided into two chapters, and consists of two. integrated papers.In Chapter 1, we introduce the concept of right adequate transversal and obtain properties of right principal projective semigroups with right adequate transversal and Quasi-ideal right adequate transversal. In particular, we estab-lish the structure of right principal projective semigroups with Quasi-ideal right adequate transversals.In Chapter 2, we study the right principal projective semigroups with mul-tiplicative right adequate transversal. After obtaining some characterizations of such semigroups, we establish the structure of right principal projective semi-groups with multiplicative strongly right adequate transversals.