摘要
引入了序半群上S-拓扑和强S-拓扑的概念,给出了S-闭集和强S-闭集的等价刻画,讨论了序半群赋上强S-拓扑的连续映射和序半群同态的关系,最后证明了S-拓扑的闭集格关于包含序构成一个代数的完全分配格。
In this paper, the notions of S-topology and strongly S-topology on ordered semigroups are proposed, and equivalent characterizations of S-closed subset and strongly S-closed subset are given. The relation between continuous mapping of strongly S-topological spaces and homomorphism of ordered semigroups is discussed, and it is proved that the family of all S-closed sets forms an algebraic and completely distributive lattice under the set-inclusion order.
出处
《模糊系统与数学》
CSCD
北大核心
2015年第4期1-5,共5页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11171196
11301316)
中央高校基本科研业务费专项基金资助项目(GK201302003)
关键词
序半群
S-拓扑
S-闭集
S-开集
Ordered Semigroup
S-topology
S-closed Set
S-open Set
