摘要
本文研究了Fuzzy格的中理想所对应的同余关系问题.利用同余类的方法,得到了中理想与其同态像所对应的同余关系的联系,两个中理想的交与其对应的同余关系交的联系,并证明了Fuzzy格的中理想为W-中理想的一个充分必要条件.
In this paper,we discuss the middle ideals and the corresponding congruence relations in fuzzy lattices by means of the congruence classes.We obtain the relations between the congrunce relations of middle ideals and the homomorphic images,and investigate the congruence relation corresponding the join of two middle ideals.Finally,we get a sufficient-necessary condition for a middle ideal to be a W-middle ideal.
出处
《数学杂志》
CSCD
北大核心
2008年第3期339-342,共4页
Journal of Mathematics
关键词
中理想
素中理想
同余关系
同余中理想
W-中理想
middle ideal
prime middle ideal
congruence relation
congruence middle ideal,W-middle ideal
