The corresponding relationship of ideal and congruence in quantale

Chang Wang · Journal of Northeast Normal University · 2012

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.

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