半连续格的刻画和映射  

Characterizations and Functions of Semicontinuons Lattices

作　　者：伍秀华[1] 李庆国[1] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082

出　　处：《Journal of Mathematical Research and Exposition》2007年第3期654-658,共5页数学研究与评论（英文版）

基　　金：国家自然科学基金(10471035);教育部博士点基金(2004194).

摘　　要：本文讨论了半连续格的一些性质,在半连续格中引入半Scott开集族,用半Scott开集族来刻画半连续格,同时定义了半连续格之间的半连续映射,得到闭包算子的像仍是半连续格的条件.最后,研究了半连续格上的半连续映射的全体不动点之集的性质。In this paper, we mainly discuss some properties of semicontinuous lattices and give the char- acterizations of semicontinuous lattices. We also define functions between two semicontinuous lattices and obtain the conditions under which the image of a closure operator is also semicontinuous. Finally we study the property about fixed points of semicontinuous lattices.

关 键 词：半素理想 半连续格 半连续映射 Galois联络 收缩 

分 类 号：O153.1[理学—数学]