摘要
本文给出了Ｆ—准素（ＦＷ—准素）理想的有限交是Ｆ－准素理想（ＦＷ－准素理想）的几个充分条件。此外，证明了［５］中定义的一个交换环Ｒ的Ｆｕｚｚｙ幂零根是Ｒ的幂零根Ｋ的特征函数Ｘ＿Ｋ。
In this paper,we give some sufficient conditions for the finite intersection of fuzzyprimary (or fuzzy w-primary)ideals to be a fuzzy primary(or fuzzy w-primary ) ide-al. Moreover, we prove that the fuzzy nilradical of a commutative ring R introduced in[5] is the characteristic function of the nilradical of R.
出处
《模糊系统与数学》
CSCD
1995年第3期54-58,共5页
Fuzzy Systems and Mathematics
关键词
F-素理想
F-准素理想
模糊理想
模糊幂零根
Fuzzy prime ideal
Fuzzy primary ideal
Fuzzy weak primary ideal
Fuzzynilradical of a fuzzy ideal
Fuzzy nilradical
