上上有界双有限偏序集范畴（英文）  

The category of upper bounded bifinite posets

作　　者：李纪波 陈彦昌[2] 张海霞[2] Li Jibo;Chen Yanchang;Zhang Haixia(School of Mathematics and Statistics,Anyang Normal University,Anyang 455000,China;College of Mathematics and Information Science,He′nan Normal University,Xinxiang 453007,China)

机构地区：[1]安阳师范学院数学与统计学院,河南安阳455000 [2]河南师范大学数学与信息科学学院,河南新乡453007

出　　处：《纯粹数学与应用数学》2019年第4期417-425,共9页Pure and Applied Mathematics

基　　金：国家自然科学基金(11701154)

摘　　要：本文在总结和补充D-预连续或D-预代数偏序集以及它们之间的D~△-连续函数的有关结论的基础上,得到了一类以上有界双有限偏序集为对象,以D~△-连续函数为态射的范畴的笛卡尔闭性.In this paper,some results about D-precontinuous or D-prealgebraic posets and D~△-continuous functions are summarized and supplemented.The category BFBP,in which objects are upper bounded bifinite posets and arrows are D~△-continuous functions between them,is shown to be cartesian closed.

关 键 词：D-预连续偏序集 D-预代数偏序集 D△-连续函数 笛卡尔闭范畴 

分 类 号：O153.1[理学—数学] O154.1[理学—基础数学]