纯正半群上若干同余的刻划(英文)

本文在纯正半群上首先引入了关系ρｍｉｎ，ρｍａｘ，ρｍｉｎ和ρｍａｘ，刻划了纯正半群上一般同余的迹类。然后利用核－迹方法给出了纯正半群上几类特殊同余的等价刻划。在此基础上，进一步研究了各类同余间的相互联系，把逆半群上有关同余的若干结果推广到纯正半群上。

Characterizations of Certain Congruences on Orthodox Semigroups

In this paper, we introduce the notation ρ min , ρ max , ρ min and ρ max , by which we describe the trace classes and the kernel classes of general congruence ρ on orthodox semigroups. Then we have given and proved some equivalent characterizations of special congruences by means of kernels and traces. On the basis of above mentioned congruences, we further investigate their relations. Some results about congruences on iverse semigroups are generalized to orthodox semigroups.