摘要
本文改进了［６］中ＦＷ—准素理想的定义，引入了两个Ｆ理想相容与不相容的概念，证明了下面的结论：１）Ｆ素理想不能分解为两个不相容的Ｆ理想之交；２）有限个两两相容的Ｆ素理想之交仍是Ｆ素理想；３）ＦＷ—准素理想不能分解为两个Ｆ根不相容的Ｆ理想之交；４）有限个Ｆ根两两相容的具上确界性质的ＦＷ—准素理想之交仍是ＦＷ—准素理想。
In this paper, we improve the concept of the fuzzy W-primary ideals introduced in [6].We give the concept of two fuzzy ideals on a ring R to be compatible (or incompatible). And we prove the following four consequences:1)A fuzzy prime ideal is not a intersection of two fuzzy ideals which are incompatible.2)If μ1,μ2, ...,μn are fuzzy prime ideals of a ring R and μi,μj (1≤i,j≤n,i≠j) are compatible,then μi is a fuzzy prime ideal. 3)A fuzzy W-primary ideal is not a intersection of two fuzzy ideals with incompatible F nil radicals. 4)If μ1,μ2,...,μn. are fuzzy W-primary ideals with theSupermurrl property and μi,μj (1≤i,j≤n,i≠j) are compatible, then μi is a fuzzy Wprimary iedal.
出处
《广西工学院学报》
CAS
1994年第3期1-6,共6页
Journal of Guangxi University of Technology
基金
青年科学基金
关键词
F素理想
F诣零根
模糊理想
Fuzzy prime ledals
Fuzzy W-primary ledals
Incompatible (or compatible)fuzzy iedals
Full radical of a fuzzy ideal
