Volume 37 • Number 2 • 2014   • Regular OS-rpp Semigroups Junqi Wang, Xiaojiang Guo and Xiaowei Qiu Abstract. OS-rpp semigroups are analogies of orthogroups in the range of rpp semigroups. The aim of this paper is to study OS-rpp semigroups whose band of idempotents is a regular band, named regular OS-rpp semigroups. Many characterizations of regular OS-rpp semigroups are obtained. In particular, Yamada's construction of regular OS-rpp semigroups is given. 2010 Mathematics Subject Classification: 20M10 Full text: PDF