模糊Quantale上的模糊同余关系及其同构定理  

Fuzzy congruence relations and isomorphism theorems on fuzzy Quantales

作　　者：贾巧会 刘妮[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《陕西师范大学学报（自然科学版）》2014年第2期18-22,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11001158);中央高校基本科研业务费专项资金项目(GK201002025)

摘　　要：在模糊Quantale上引入模糊同余关系的概念,证明了模糊Quantale上的模糊同余关系与模糊核映射是一一对应的,而且模糊同余关系之集模糊序同构于该模糊Quantale上的模糊核映射之集.基于模糊同余关系引入商模糊Quantale的概念,证明了任一模糊Quantale同余关系诱导的模糊Quantale商与基于该模糊同余关系的商模糊Quantale是同构的.The concept of fuzzy congruence relations on fuzzy Quantales is introduced. It is proved that there is a one to one correspondence between the fuzzy congruence relations and fuzzy nuclei on a fuzzy Quantale, and the fuzzy poser of all fuzzy congruence relations is isomorphic to the fuzzy poser of all fuzzy nuclei on a given fuzzy Quantale. Based on the fuzzy congruence relation, the concept of quotient fuzzy Quantale is given. It is proved that the fuzzy quantic quotient in- duced by a fuzzy Quantale congruence relation is isomorphic to the quotient fuzzy Quantale based on the fuzzy congruence relation.

关 键 词：模糊偏序集 模糊Quantale 模糊同余关系 模糊核映射 

分 类 号：O153.1[理学—数学]