Z-拟代数Domain  

Z-Quasialgebraic Domain

作　　者：李琪 段求员 

机构地区：[1]抚州师范专科学校数学系,抚州344000 [2]江西抚州农业学校,抚州344000

出　　处：《江西师范大学学报（自然科学版）》2002年第2期132-134,共3页Journal of Jiangxi Normal University(Natural Science Edition)

摘　　要：引入Z -拟代数Domain的概念 ,证明了它在Z -连续闭包算子下的保持性以及当满足条件Δ(L) Z(L)时 ,Z -拟代数格L关于Z -Lawson拓扑lz(L)是Priestleyspace .The concept of Z-quasialgebraic domain is introduced. We proved that the images of Z-quasialgebraic domains under Z-continuous closure operators are Z-quasialgebraic, and proved that with Δ(L)Z(L) Z-quasialgebraic lattice L is Priestley space with respect to Z-Lawson topology.

关 键 词：Z-拟代数Domain Z-拟代数格 Priesle空间 Z-连续闭包算子 Z-Lawson拓扑 Z-完备编序集 

分 类 号：O189.2[理学—数学] O153.1[理学—基础数学]