Orthodox Super Rpp Semigroups

In this thesis, we investigate a kind of super rpp semigroups, calledorthodox super rpp semigroups. Orthodox super rpp semigroups are definedas super rpp semigroups whose set of idempotents forms a band. The thesisis divided into four sections.After providing some preliminaries and some characterizations of superrpp semigroups, we consider some special congruences on orthodox super rppsemigroups. By using congruences we give some characterization theoremsfor such semigroups. In section4, we study left C-rpp semigroups and rightC-rpp semigroups and establish some properties of left C-rpp semigroups andright C-rpp semigroups.