逆半群的半格上的半格同余

Semilattice Congruences on A Semilattice of Inverse Semigroup

讨论逆半群的半格的商半群,得到了逆半群的半格的商半群是各逆半群对应的商半群的半格的一个充要条件。利用一族含幺逆半群上的半格同余、SG-同余刻画了其半格上的相应同余。

We discuss quotient semigroups of inverse semigroups firstly, and obtain a necessary and sufficient condition that the quotient semigroup of inverse semigroups is a seilattiee of corresponding quotient semigroup of every inverse semigroup, after that, we characterize the semilattice congruence and SG-congruence on a semilattice of inverse monoids by the semilattice congruence and SG- congruence on those inverse monoids.