摘要
考虑一般的正则半群上的模糊同余，定义了正则半群的模糊同余三元组的概念，证明了正则半群上的每个模糊同余由它的模糊同余三元组惟一确定，进而得到正则半群上的模糊同余集和模糊同余三元组集之间存在一一对应关系．
It is first introduced that the concept of fuzzy congruence triple of a fuzzy congruence on a regular semigroup, and then showed that each fuzzy congruence on a regular semigroup is uniquely determined by its fuzzy congruence triple. Finally, it is obtained that there exists a one to one correspondence between fuzzy congruence triples and fuzzy congruences on a regular semigroup.
出处
《西安交通大学学报》
EI
CAS
CSCD
北大核心
2002年第4期418-421,共4页
Journal of Xi'an Jiaotong University
基金
国家自然科学基金资助项目(19971028).
关键词
正则半群
模糊同余三元组
Green等价关系
fuzzy congruence
fuzzy congruence triple
L(R) part
Green's equivalence relations
regular semigroup
