拟完全正则半群的同余格上的一类关系(英文)

A Relation on the Congruence Lattice of an Epigroup

本文讨论拟完全正则半群的具有同一超迹的两个同余构成的同余格上的关系T,证明该关系是同余格上的完备关系,其等价类为区间.并确定对于完全正则半群同余进行关于T的底运算得到的同余.

In this paper,we consider the relation T on the congruence lattice of an epigroup that identifies two congruences if they have the same super-trace.We prove that this relation is a complete congruence on the lattice and its congruence classes are all intervals.In addition,we identify the congruence by applying to a completely regular congruence on an epigroup the operator of lower T.