四川大学学报(自然科学版)2006,Vol.43Issue(5):992-995,4.
开滤子Domain的分配性
A Note on Distributivity of Open Filter Domains
摘要
Abstract
Filiters and open filters are useful utilities to explore strctures of domains. In this paper,it is proved that for a continuous distributive semilattice L, OFilt (L) is a distributive lattice iff L is stably continuous. And an example is given to show that in the general case the distributivity of L cannot imply that of OFilt (L).关键词
分配半格/开滤子Domain/稳定连续Key words
distributive semilattice/open filter domains/stably continuous分类
数理科学引用本文复制引用
黄方平,梁基华,寇辉..开滤子Domain的分配性[J].四川大学学报(自然科学版),2006,43(5):992-995,4.基金项目
National Science Foundation of China (0020105401084) and the Science and Technology Research Project of Chongqing Educational Committee (KJ061102) (0020105401084)