摘要
本文讨论了亚纯正半群 S 上特殊同余间的关系;利用超迹和核研究了 S 上任一同余ρ与特殊同余的关系;最后,讨论了 S/α上的几种特殊同余。给出了 S 上任一同余ρ与群同余的并的等式.
In this paper,we introduce some new congruences on a metaorthodox semigroup and dis- cuss the relations of them.By use of the concept of hyper—trace and kernal we discuss also the rela- tions between any congruence and special congruence on S.Finally,We give the congruences on S/α and the equality of join of any congruence and group congruence on S.
关键词
亚纯正半群
同余
超迹
核
同构
metaorthodox semigroup
congruence
hyper-trace
kernal
isomorphism
