摘要
首先给出了Quantale中模糊理想的概念.其次,研究了Quantale中模糊理想的性质,得出了Quantale中模糊理想与理想之间的关系.最后给出Quantale中模糊理想扩张的定义,并研究了其性质,得到了在Quantale中模糊理想的扩张还是模糊理想的结论.
Firstly,the definitions of fuzzy ideal of Quantale is given,secondly,some properties of it is studied,and the relation of ideal and fuzzy ideals of Quantales is given.At last,the definitions of expansion of fuzzy ideal in Quantales is given,some properties of it is studied,and the authors proved that： in Quantales the expansion of fuzzy ideal is also a fuzzy ideal.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第3期51-53,共3页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10871121)
榆林学院高层次人才科研启动金(10GK24)
关键词
模糊理想
理想
模糊理想扩张
fuzzy ideal
ideal
the expansion of fuzzy ideal
