范畴CL中的等化子和余等化子  

Equalizer and coequalizer in category of closed-set lattices

作　　者：李海洋[1] 路玲霞[2] 

机构地区：[1]西安工程大学理学院,陕西西安710048 [2]石家庄经济学院理学院,河北石家庄050031

出　　处：《纺织高校基础科学学报》2007年第4期352-356,共5页Basic Sciences Journal of Textile Universities

基　　金：西安工程大学校管科研资助项目(2006XG40)

摘　　要：设L是闭集格(即,对每个x∈L,Bx Copr(L),使得x=∨Bx),这也等价于Lop是空间式locale.闭集格以及闭集格间保任意并、保余素元的映射组成的范畴记作CL.引入了通过并半格构造闭集格的方法——并半格的闭集格化,并且利用这种方法给出了闭集格范畴CL中等化子、余等化子的具体构造.Let L be a closed-set lattice （i. e. , for each x∈L, there is a subset BxCopr（L） such that x = V Bx）, which is equivalent to L^op that is a spatial locale. The category of closed set lattices and map- pings which preserves arbitrary unions and nonzero co prime elements is denoted by CL. In this paper, the closed-set-latticefies of join-semilattice-the new approach that the join-semilattice becomes closed- set lattice is introduced. And, by using it, the structures of equalizer and coequalizer in CL are given

关 键 词：闭集格 闭集格化 等化子 余等化子 

分 类 号：O153.1[理学—数学]