模糊预Dual quantale  

Fuzzy Pre-dual Quantale

作　　者：李艳[1] 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：《模糊系统与数学》2014年第1期57-64,共8页Fuzzy Systems and Mathematics

基　　金：中央高校基本科研业务费专项(GK201002025);国家自然科学基金青年项目(11001158)

摘　　要：给出了模糊预Dual quantale的定义,讨论了它的一些性质,并证明了模糊Dual quantale恰好是含有单位元的的模糊预Dual quantale。最后讨论了模糊预Dual quantale上L-核映射和L-理想余核的关系,证明了在一类特殊的模糊预Dual quantale-模糊预Girard quantale上L-核映射和L-理想余核是一一对应的。In this paper, the concept of fuzzy pre-dual quantale is introduced and some properties of it are investigated. In the meantime, it is proved that a fuzzy dual quantale is exactly a fuzzy pre-dual quantale equipped with the unit. Finally, the relationship between L-nuclei and L-ideal conuclei on a fuzzy pre-dual quantale is discussed, and it is proved that there is a one-to-one correspondence between L-nuclei and L-ideal conuclei on a special kind of fuzzy pre-dual quantale-fuzzy pre-Girard quantale.

关 键 词：模糊预Dual QUANTALE 模糊预Girard QUANTALE L-核映射 L-理想余核 

分 类 号：O153[理学—数学]