Fuzzy准素理想及其等价刻画  

Fuzzy Primary Ideals and Its Characterizations

作　　者：陈奕娟[1] 何利芳[1] 张诚一[1] 

机构地区：[1]海南师范大学数学与统计学院,海南海口571158

出　　处：《模糊系统与数学》2015年第1期43-49,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71140008)

摘　　要：首先利用既约集合套重新定义了fuzzy准素理想,给出了相应的等价刻画。而后讨论了fuzzy准素理想的几种常见定义,研究了这些定义之间的关系。最后,基于本文给出的定义,给出了fuzzy准素理想的一些性质。In this paper, we first give the new definition for the fuzzy primary ideals by using irreducible nested set. And we give the corresponding characterizations. Then discuss several common definitions of the fuzzy primary ideals, and study the relationship between these definitions. Finally, some properties of fuzzy primary ideals are given by the new definition.

关 键 词：既约集合套 fuzzy准素理想 fuzzy根 交换环 

分 类 号：O159[理学—数学]