Quantale中的核映射

Nuclei of the Quantale

在Quantale中引入了c-核映射及r-核映射,给出了c-核映射的刻划,证明了在一定条件下c-核映射和r-核映射是等价的;最后讨论了Quantale中的闭滤子与c-闭集之间的关系.

It was introduced the concepts of c-nuclei and r-nuclei, the characterization of c-nuclei was given. By the relation of c-closed set and closed upper set, it was proved that c-nuclei and r-nuclei would be equiva- lent under some conditions. At last, the relation between closed filter and c-closed set was discussed.