Regular OS-rpp Semigroups
Malaysian Mathematical, Junqi Wang, Xiaojiang Guo, Xiaowei Qiu · 2012
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 OSrpp semigroups. Many characterizations of regular OS-rpp semigroups are obtained. In particular, Yamada’s construction of regular OS-rpp semigroups is given. 2000 Mathematics Subject Classication: 20M10