增序变换半群上的某些同余

Some Congruences of Order-Increasing Transformation Semigroup

给出了增序变换半群上的链同余和半格同余的定义,利用同余的性质,得出了增序变换半群上任意同余与链同余并取的等式,并得出了该半群的任意子半群上的最小半格同余。

It give the definition of chain congruence and semilattice congruence on the order-increasing transformation semigroup.With the nature of congruence,we obtain the equation that is the conjunctive of arbitrary congruence and chain congruence on the order-increasing transformation semigroup and drain the minimum semilattic congruence of arbitrary subsemigroup of this semigroup.