Fuzzy理想的Fuzzy准素分解  

Fuzzy Primary Decompositions of Fuzzy Ideals

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3期91-96,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(71361008)

摘　　要：指出了前人给出的fuzzy理想的fuzzy准素分解定义的不足,利用既约集合套重新定义了fuzzy理想的fuzzy准素分解并研究了它的等价刻划。证明了fuzzy理想的既约fuzzy准素分解的唯一性定理,并将所得到的结果推广到Fuzzy子模。In this paper, we analyze the shortage of fuzzy primary decomposition of fuzzy ideals given by predecessors. Then we redefine fuzzy primary decomposition of fuzzy ideals by using irreducible nested set and study its corresponding characterizations. Finally we primary decomposition of fuzzy ideals and we shall extend proved the uniqueness theorem of reduced fuzzy the results in a natural way to fuzzy submodules.

关 键 词：含幺交换环 既约集合套 fuzzy理想(子模) fuzzy准素理想(准素子模) 

分 类 号：O159[理学—数学]