四川师范大学学报（自然科学版）2001，Vol.24Issue(3)：219-223,5.
弱逆半群上最大幂等元分离同余和群同余
The Greatest Idempotent-separating Congruence and Group Congruences on a Weakly Inverse Semigroup
喻秉钧 1廖群英 1余时伟2
作者信息
- 1. 四川师范大学数学系
- 2. 电子科技大学应用数学系
- 折叠
摘要
Abstract
In this paper,the greatest idempotent-separating congruence and the minimum group congruence on a weakly inverse semigroup S are characterized.It is proved therefore that the lattice of group congruences on S is complete lattice isomorphic to the lattice of group congruences on I(S),the inverse subsemigroup of principal elements of S.Moreover,the lattice of group congruences of S is also a lattice homomorphic image of the lattice of all congruences of S.关键词
弱逆半群/群同余/最大幂等元分离同余/格/格同态/完备格同构分类
数理科学引用本文复制引用
喻秉钧,廖群英,余时伟..弱逆半群上最大幂等元分离同余和群同余[J].四川师范大学学报（自然科学版）,2001,24(3):219-223,5.
