摘要
本文引入了Z-连通集系统的概念,讨论了Z-连通连续偏序集的一系列性 质,证明了Z-连通连续偏序集范畴对偶等价于完全分配格范畴的一个满子范畴.
In this paper, the concepts of Z-connected set system is introduced, and then a series of properties of Z-connected continuous poset are discussed, we mainly prove that the category of Z-connected continuous posets is dually equivalent to a full subcategory of the category of completely distributive lattices.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2004年第6期1141-1148,共8页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金(10271069)
高等学校优秀青年教师教学科研奖励计划
陕西师范大学研究生培养创新基金
关键词
Z-连通集系统
Z-连通连续偏序集
完全分配格
Z-connected set system
Z-connected continuous poset
Completely dis-tributive lattice
