Fuzzy格的同余中理想及其W-中理想  

THE CONGRUENCE MIDDLE IDEALS AND W-MIDDLE IDEALS IN FUZZY LATTICES

作　　者：刘蔚萍[1] 

机构地区：[1]华中科技大学数学系,湖北武汉430074

出　　处：《数学杂志》2008年第3期339-342,共4页Journal of Mathematics

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.

关 键 词：中理想 素中理想 同余关系 同余中理想 W-中理想 

分 类 号：O153.1[理学—数学]