陕西师范大学学报（自然科学版）Issue(3)：13-17,5.DOI:10.15983/j.cnki.jsnu.2015.03.134
W-代数偏序集及其性质
W-algebraic poset and its properties
摘要
Abstract
The concepts ofW-algebraic poset and strong W-algebraic poset are introduced.The re-lationship among W-algebraic poset,Exact poset and algebraic poset is investigated.The image of a W-algebraic poset under an injective kernel operator preserving sups of directed sets is W-alge-braic poset.It is shown that it is a strong W-algebraic domain if every point of a weak domain has a minimum local basis.It is also shown that a Scott continuous mapping of a weak domain pre-serves local basis if and only if it preserves Weakly way below relation.关键词
W-代数偏序集/代数偏序集/Exact偏序集/弱Domain/局部基Key words
W-algebraic poset/algebraic poset/Exact poset/weak domain/local basis分类
数理科学引用本文复制引用
折海芳,赵彬..W-代数偏序集及其性质[J].陕西师范大学学报（自然科学版）,2015,(3):13-17,5.基金项目
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资金项目 （）
