Fuzzy半群中的Fuzzy素理想  

Fuzzy Prime Ideals in Fuzzy Semigroups

作　　者：谭宜家[1] 

机构地区：[1]福州大学数学系,福建福州350002

出　　处：《模糊系统与数学》2001年第1期50-54,共5页Fuzzy Systems and Mathematics

基　　金：福建省教委科技基金资助项目!(K990 2 9)

摘　　要：探讨 Fuzzy半群中 Fuzzy素理想、Fuzzy完全素理想与 Fuzzy理想的根的一些代数性质 ,证明Fuzzy半群中每一个 Fuzzy理想是 Fuzzy完全半素理想当且仅当它可表为一族In this paper,we obtain some algebraic properties of fuzzy prime ideals,fuzzy completely prime ideals and radicals of fuzzy ideals in fuzzy semigroups,and show that a fuzzy ideal in a fuzzy simigroup is a fuzzy completely semiprime ideal if and only if it is an intersectin of a family of fuzzy completely prime ideals.

关 键 词：FUZZY半群 Fuzzy素理想 Fuzzy完全素理想 Fuzzy理想根 FUZZY理想 

分 类 号：O159[理学—数学]