摘要
本文引入了H-代数偏序集的概念,讨论了它的一些基本性质。得到如下主要结果:(1)举例说明了代数偏序集未必是H-代数偏序集;(2)偏序集是H-代数偏序集当且仅当强紧元是它的强基;(3)偏序集是H-代数偏序集当且仅当它的局部Scott拓扑是强代数格。
In this paper,the concept of H-algebraic poset is introduced,some basic properties of H-algebraic poset are investigated.The main results are:(1)An example is constructed to show that an algebraic poset may not be an H-algebraic poset;(2)A poset P is an H-algebraic poset iff the set of its strongly compact elements is a strong basis of P;(3)A poset is an H-algebraic poset iff its local Scott topology is a strongly algebraic lattice.
作者
张晓媛
徐晓泉
ZHANG Xiao-yuan;XU Xiao-quan(Department of Mathematics,Sichuan University,Chengdu 610065,China;Department of Fundamental Science,Hebei Finance University,Baoding 071051,China;School of Mathematics and statistics,Minnan Normal University,Zhangzhou 363000,China)
出处
《模糊系统与数学》
北大核心
2021年第1期34-39,共6页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11361028,11661057,11761034)
河北省高等学校科学技术研究基金资助项目(z2014069)
江西省自然科学基金资助项目(20161BAB2061004)。
