单纯Quantale及其Quantale商

Simple Quantale and Its Quantic Quotient

讨论Q uan ta le上的同余与Q uan ta le商之间的关系,研究单纯Q uan ta le的性质,给出一类Q uan ta le是单纯Q uan ta le的等价刻画。最后从Q uan ta le商的角度对单纯Q uan ta le进行了研究,得到单纯Q uan ta le的若干特征定理。

In this paper, the relation between the quantic congruence and the quantic quotient was discussed. The properties of simple quantales were studied, and the equivalent condition that a kind of special quantale is a simple quantale was given. Finally, some characteristic theorems were obtained from the point of quantic quotient.