Structures Of Some Ehresmann-Typed Wrpp Semigroups

In this dissertation, we study the structure of some Ehresmann-typed wrpp semigroups. The main idea is to describe structures of the generalized regular semigroups by generalized Green relations and the set of the idempotents of generalized semigroups.Wrpp semigroups are a class of very important semigroup. The structure of some wrpp semigroups have been discribed. In this paper, the structures will be generalized to some generalized regular semiguoup. There are four chapters.In the first chapter, we mainly describe some preliminaries, spined product, semi-spined product, A-product and so on.In the second chapter, we deal with Ehresmann-typed wrpp semigroups. We introduce the concept of Ehresmann-typed wrpp semigroups which is a particular kind of wrpp semigroups. Some structure theorems of such semigroups are obtained. These results can be generalized to rpp semigroups and regular semigroups too.In the third chapter, we give the description of the structure of regular Ehresmann-typed wrpp semigroups. Firstly, we give the definition of C Ehresmann-typed wrpp semigroups, i.e.the Ehresmann-typed wrpp semigroups with the set of idempotents being C bands. Then, we gives the structure of left regular Ehresmann-typed wrpp semigroups, right regular Ehresmann-typed wrpp semigroups and regular Ehresmann-typed wrpp semigroups. At last, we obtain the semi-spined product structure and the A-product structure of these semigroups. These results can be generalized to rpp semigroups and regular semigroups too.In the fourth chapter, we describe the structure of LR Ehresmann-typed wrpp semigroups. We give the semi-spined product structure and the A-product structure of such semigroups. These results are generalized to rpp semigroups and regular semigroups too.