F-rpp semigroups
Xiaojiang Guo, Xiaoping Li, K. P. Shum · International Mathematical Forum · 2006
The investigation of F-rpp semigroups is initiated. After obtaining some important properties of such semigroups, the structure of a class of F-rpp semigroups is established. As an application, we give a new structure of F-regular semigroups and strongly F-abundant semigroups. Thus, the results obtained by Edwards and Guo are extended and enriched.