关于正则半群的左Clifford同余格

THE LATTICE OF L-CLIFFORD CONGRUENCES ON A REGULAR SEMIGROUP

本文证明了,正则半群上全体左Clifford同余Lcc(S)组成C(S)的子格,研究了Lcc(S)的≡-类,给出了每个≡-类的最大元,最小元的性质,证明了≡关系Lcc(S)的一个格同余.

In this paper lattice lcc (s) of all L clifford congruence on a regular semigroup S is studied. We prove that the relation ≡ restricted to Lcc (s) is s congruence, and present a characterion of the greatest element of each≡-class, and the Last element of each≡-class.