交换半群上的最小半格同余

The Smallest Semilattice Congruences on Commutative Semi-groups

研究了一类特殊半群上的同余,即交换半群上的同余.首先给出了半群中的两个元素间整除的概念,进一步给出了交换半群上最小半格同余的刻画,并且证明了每一个同余类是一个全交换子半群.

The present paper discusses a class of the congruences on a special semi - group, namely, the congruences on commutative semi - groups. It first defines the concept of division between how the smallest semilattice congruences on commutative semi - groups is congruence is a full commutative semi - group. elements on semi - groups. It then describes obtained. Finally, the paper proves that each