Abstract: In this paper，some properties of（strong） pseudocongruences are first investigated, and the relationship between pseudocongruences and quantic nuclei is discussed. Next, the concept of an irreducible Quantale is introduced. At last, by means of pseudocongruences a general characterization is given for irreducible Quantale.

Key words: Quantale, （strong） pseudocongruence, irreducible Quantale

摘要： 研究了Quantale上（强）伪同余的性质，讨论了伪同余与核映射的关系；引入了不可约Quantale的概念；利用伪同余给出了不可约Quantale的一般刻画。

关键词: Quantale, （强）伪同余, 不可约Quantale