Z-极小集及其对Z-连续偏序集的应用  

Z-Minimal Sets and Their Applications to Theory of Z-Continuous Posets

作　　者：阮小军[1] 毕含宇[2] 赵洋[1] 

机构地区：[1]南昌大学数学系,江西南昌330047 [2]江西师范大学数学与信息科学学院,江西南昌330027

出　　处：《江西师范大学学报（自然科学版）》2006年第4期328-330,335,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10331010)

摘　　要：对于一般的子集系统Z,引入了Z-极小集的概念,给出了Z-连续偏序集中保Z-极小集与保Z-并和Z间的等价刻划及其有关性质,得到了关于保Z-极小集映射的扩张定理.For a general subset system Z , the concept of Z- minimal sets is defined , some characteristics of Z- continuous posets are discussed, the equivalent characterizations between the mapping preserving the Z- minimal sets and the mapping preserving 〈〈Z and the Z- supremum of Z- continuous posets are given, so the corresponding extension theorem is made.

关 键 词：Z-完备偏序集 Z-连续偏序集 Z-极小集 Z-基 

分 类 号：O153.1[理学—数学]