Compact Primitive Semigroups Having (CEP)
Xiaojiang Guo, K. P. Shum, Xiang-Yun Xie · 2009
Compact completely simple semigroups having congruence extension property (in brevity (CEP)) were flrst studied by Dumesnil in 1997. In this paper, we study the compact primitive semigroups having (CEP) and characterize such semigroups, so that the result of Dumesnil on compact completely simple semigroups having (CEP) is extended to compact primitive semigroups.