Cryptic Rpp Semigroups

In this thesis, we investigate a special kind of strongly rpp semigroupscalled cryptic rpp semigroups. Cryptic rpp semigroups are generalizations ofcryptic groups. The thesis is divided into three chapters.In Chapter 1, we introduce some related knowledge and list some knownresults.In Chapter 2, we investigate cryptic rpp semigroups, and obtain somecharacterizations of cryptic rpp semigroups. In particular, we establish thestructure of such kind of semigroups.In Chapter 3, we study a special kind of cryptic rpp semigroups calledorthocryptic rpp semigroups whose idempotents form a band. We investigatesome characterizations of orthocryptic rpp semigroups and obtainn some use-full results. For example, it is proved that a semigroup is a orthocryptic rppsemigroup if and only if it is isomorphic to the spined product of a band and aC-rpp semigroup. Finally, according to the structure of cryptic rpp semigroupsin chapter 2, we establish the structure of orthocryptic rpp semigroups.