Congruences On Normal Cryptic Rpp Semigroups

In this thesis, we study super rpp semigroups.L*-congruences on normal cryptic rpp semigroups and cores of super rpp semigroups are researched. This thesis is divided into five sections. Based on some known results, we get some properties of L*-congruences on normal cryptic rpp semigroups. In particular, we establish the construction of L*-congruences on normal cryptic rpp semigroups. Then we study some special congruences on normal cryptic rpp semigroups. The structure of the least completely J(l)-simple semigroup (resp. rectangular band; normal band) L*-congruences on normal cryptic rpp semigroups is obtained. Finally we investigate cores of super rpp semigroups.