讨论了Quantale中理想和同余的各种关系,指出与环中得到的理想和同余之间的关系不同,Quantale不存在这种一一对应,找出了理想和右侧元之间的对应关系.同时,给出了Quantale中的具体同余关系的一个实例,深入研究了对应不同的理想,可分别得到恒等同余、单纯同余以及其他不同类型的不同对应表示.并且对理想、同余和态射之间的关系做出了讨论.
In this paper,we discuss some relations of ideal and congruence in quantale,and point out the fact that it is different from the relation between ideal and congruence in the ring,there is no the corresponding relation in quantale.Moreover,the relation of their one to one is found by us.At the same time,this paper takes out an example of quantale’s congruence and studies intensively we can receive identical equal congruence,simple congruence and other different style ideals.And,we discuss the relations of ideal,congruence and morphism.