陕西师范大学学报(自然科学版)2011,Vol.39Issue(2):8-12,5.
FZ-Domain的基与抽象基的RZ-理想完备化
The RZ-ideal completions of FZ-directed basis and FZ-abstract basis for FZ-Domains
摘要
Abstract
The concepts of FZ-Directed basis and FZ-abstract basis for FZ-Domains are defined.The RZ-ideal completions of them are studied. It is proved that for one class of subset systems,every FZ-Domain is isomorphic to the direct round Z-ideal completion of its FZ-directed basis,and a poset P is an FZ-Domain if and only if there exists an FZ-abstract basis B such that P is isomorphic to the direct RZ-ideal completion of B.关键词
FZ-Domain/子集系统/FZ-基/FZ-抽象基/RZ-理想完备化Key words
FZ-Domain/ subset system/ FZ-basis/ FZ-abstract basis/ RZ-ideal completion分类
数理科学引用本文复制引用
刘敏,赵彬..FZ-Domain的基与抽象基的RZ-理想完备化[J].陕西师范大学学报(自然科学版),2011,39(2):8-12,5.基金项目
国家自然科学基金资助项目(10871121,11001158). (10871121,11001158)