L-fuzzy滤子空间范畴  

The category of L-fuzzy filter spaces

作　　者：刘华丽[1] 

机构地区：[1]西安石油大学理学院,陕西西安710065

出　　处：《山东大学学报（理学版）》2010年第9期43-48,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(90610012)

摘　　要：给出L-滤子和L-fuzzy滤子空间的概念,讨论了固定集合X上全体L-滤子之集的一些格论性质。研究了L-fuzzy滤子空间范畴LFIL的若干范畴性质,给出了范畴LFIL中等子和乘积的构造,证明了LFIL是拓扑范畴,得到了范畴LFIL与范畴LCFIL之间存在着一对伴随函子的结果。The notions of L-filter and L-fuzzy filter space are given, and lattice properties of the set of all L-filter on a fLxed set X are discussed. Then categorical properties of the L-fuzzy filter space category LFIL are studied. The constructs of equivalizer and product in LFIL are given, and LFIL is proved to be a topological category. It is proved that there is an adjunction between category LFIL and category LCFIL.

关 键 词：L—fuzzy滤子空间 等子 乘积 左伴随 拓扑范畴 

分 类 号：O189.1[理学—数学]