吉首大学学报（自然科学版）2026，Vol.47Issue(4)：1-4,10,5.DOI:10.13438/j.cnki.jdzk.2026.04.001
由Cut算子定义的多种连续偏序集之间的关系
Relationship Between Continuous Posets Defined by the Cut Operator
摘要
Abstract
To investigate the relationships among various types of continuous posets defined by the cut op-erator,this paper uses the construction of Frink ideals to prove that a poset L is s*2-supercontinuous if and only if it is F-continuous and s1-continuous.Furthermore,the equivalence of three descriptions is es-tablished:L is s*2-superalgebraic,L is s1-continuous and s2-superalgebraic,and L is L-algebraic and s1-continuous.关键词
偏序集/cut算子/连续偏序集/代数偏序集Key words
partial order set/cut operator/continuous poset/algebraic continuous poset分类
数理科学引用本文复制引用
梁静..由Cut算子定义的多种连续偏序集之间的关系[J].吉首大学学报（自然科学版）,2026,47(4):1-4,10,5.基金项目
安徽省质量工程项目(2023JCJX021) （2023JCJX021）
