欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
摘要：研究了Quantale与单位Quantale Q[e]上的Localic核与Localic余核映射。证明了Quantale Q上的Localic核映射可以惟一地扩张为Q[e]上的Localic核映射，双侧的可换Quantale存在最大的Localic子Quantale。再将以上结论应用于研究Quantale Q上的最大的Localic余核映射到Q[e]的扩张，给出了Q上的最大的Localic余核映射到Q[e]的扩张的所有形式，并且证明了Q[e]有最大Localic子Quantale当且仅当Q是平凡Quantale。
英文摘要：
This paper deals with localic nuclei and conuclei on quantales and the unital quantale Q [ e ]. Firstly, it is proved that a localic nucleus on a quantale Q can be uniquely extended to the unital quantale Q[e]. Also, it is proved that a two-sided commutative quantale has a largest localic subquantale, which is applied to study the extension of the largest localic quantic conucleus on Q to the unitale quantale Q[e]. All the extensions of a largest localic quantic conu- cleus to the unitale quantale Q[e] are given. And it is proved that Q[e] has a largest localic subquantale if and only if Q is the trivial quantale.
同期刊论文项目
同项目期刊论文
期刊信息
位置：