引入Quantale上双侧核映射的概念,研究双侧核映射的若干性质,证明一个核映射是局部核映射当且仅当它是双侧的、幂等的。
In this paper,the concept of a two-sided quantic nucleus of a quantale is introduced,some properties of the two-sided quantic nucleus are studied,and it is proved that a quantic nucleus is localic if and only if it is two-sided and idempotent.