Z-连续偏序集的表示定理  

The Representations of Z-continuous Posets

作　　者：伍秀华[1] 杨田[1] 

机构地区：[1]中南林业科技大学理学院,湖南长沙410004

出　　处：《模糊系统与数学》2012年第5期178-184,共7页Fuzzy Systems and Mathematics

基　　金：湖南省科技项目(2011FJ3152;2012FJ3145);中南林业科技大学人才引进项目(104-0062)

摘　　要：在偏序集中引入嵌入Z-基并根据嵌入Z-基建立Z-连续偏序集的表示定理。同时,我们将讨论抽象Z-基的Z-理想完备是Z-代数偏序集的条件。最后,我们深入探讨嵌入Z-基、Z-连续扩张和σZ-集之间的关系。In this paper, we will introduce the concept of the embedded Z-basis for posets and establish some characterization theorems for Z-continuous posets by the technique of embedded Z-basis. Moreover, we will discuss the conditions under which the Z-ideal completion of a abstract Z-basis is Z-algebraic. Finally, we will investigate the relations among embedded Z-base, Z-continuous extensions and az- sets.

关 键 词：嵌入Z-基 抽象Z-基 Z-连续偏序集 σz-集 

分 类 号：O153[理学—数学]