摘要
给出了格环上Fuzzy同余关系的定义 ,研究了它的若干性质 ,证明了格环上的全体Fuzzy同余关系关于Fuzzy集合的包含关系构成一个模格 ,并利用Fuzzy同余类给出了Fuzzy同余商格环的定义及其同态、同构的若干性质 .
In this paper, the definition of fuzzy congruence relations on lattice-ordered ring is given, some properties of it are studied, the set of all fuzzy congruence relations on a lattice-ordered ring is proved to be a modular lattice about the inclusion relation of fuzzy sets. Using fuzzy congruence class, the definition of fuzzy congruence quotient lattice-ordered ring is given, and some properties about homomorphism and isomorphism are proved.
出处
《东北师大学报（自然科学版）》
CAS
CSCD
北大核心
2001年第2期22-26,共5页
Journal of Northeast Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目 ( 69973 0 1 2 )
关键词
格环
FUZZY同余关系
模
同余类
Fuzzy商格环
同态
同构
lattice-ordered ring
fuzzy congruence relation
modular lattice
congruence clas
fuzzy quotient lattice-ordered ring
