上邻及弱上邻  

Adjacent and weak adjacent

作　　者：王娣[1] 卢涛[1] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《天津师范大学学报（自然科学版）》2016年第5期17-19,共3页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11171156);安徽省高校自然科学研究重点资助项目(KJ2015A064)

摘　　要：首先给出了弱完全交既约元、余dcpo及way-up的概念;然后结合way-up关系和新的辅助关系定义了弱上邻的概念;最后,借助弱完全交既约元讨论了上邻及弱上邻在交半格、完备格及余dcpo不同背景下的性质.The concepts of weak complete intersection irreducible elements, co-dcpo and way-up are introduced. Then the concept of weak adjacent is given based on way-up and new auxiliary relation. Finally, the properties of adjacent and weak adjacent are discussed by using weak complete irreducible elements in semilattices, complete lattices and eo-depo.

关 键 词：way-up 弱完全交既约元 余dcpo 弱上邻 插入关系 

分 类 号：O153[理学—数学]