Regular OS-rpp Semigroups

In this thesis, we introduce a kind of strongly rpp semigroups, which areregular OS-rpp semigroups. Regular OS-rpp semigroups are generalizationsof regular orthogroups. The thesis is divided into two chapters.In Chapter1, we introduce some related knowledge and list some knownresults.In Chapter2, we investigate regular OS-rpp semigroups, and obtainsome characterizations of regular OS-rpp semigroups. In particular, we es-tablish the structure of such kind of semigroups.