F_(1)格范畴的表现定理  

The Representation Theorem for F_(1) Case Category

作　　者：张立国[1] ZHANG Li-guo(Shenyang Ligong University,Shenyang 110159,China)

机构地区：[1]沈阳理工大学理学院,辽宁沈阳110159

出　　处：《辽宁大学学报（自然科学版）》2022年第2期125-128,共4页Journal of Liaoning University：Natural Sciences Edition

摘　　要：完全分配格结构的研究是连续格理论的热点问题.文章给出一种特殊的完全分配格—F_(1)格,构造范畴CD^(*),讨论F_(1)格范畴CD^(*)对象的结构与态射的性质,论证它与集合范畴Set^(*)等价,为研究连续格与Fuzzy拓扑学之间的联系提供一点新思路.The research on the structure of completely distributive lattices is a hot topic in the continuous lattices theory.In this paper,we give a special completely distributive lattice—F_(1) lattice,construct the category CD^(*),discuss the structure and properties of morphism of the category CD^(*) of F_(1) lattice,and prove that it is equivalent to set category Set^(*),this paper provides a new idea for studying the relation between continuous lattices and Fuzzy topology.

关 键 词：广义序同态 范畴 函子 

分 类 号：O189.13[理学—数学]