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高校应用数学学报
高校应用数学学报  2014, Vol. 29 Issue (3): 369-374    
    
Scott闭集格的C-代数性及其应用
何青玉, 徐罗山
扬州大学 数学科学学院, 江苏扬州 225002
C-algebraicity of Scott-closed lattices and its applications
HE Qing-yu, XU Luo-shan
Department of Mathematics, Yangzhou University, Yangzhou 225002, China
 全文: PDF 
摘要： 引入了拟C-连续偏序集的概念, 利用拟C-连续性证明了dcpo $L$是拟连续的当且仅当$L$上的Scott闭集格是拟连续格. 证明了满足性质M的dcpo上的Scott闭集格都是C-代数格, 从而给出了具有同构Scott闭集格的两dcpo同构的新的充分条件.
关键词： 拟C-连续性;  C-代数格;  性质M;  Scott拓扑;  Sober空间    
Abstract: The concept of quasi C-continuity for posets is introduced. In terms of quasi Ccontinuity, it is proved that quasi-continuity of a dcpo is equivalent to the quasi-continuity of its Scott-closed lattice. It is obtained that the Scott-closed lattice of a dcpo satisfying the property M is C-algebraic. A new sufficient condition is given for the isomorphism of two dcpos with isomorphic Scott-closed lattices.
Key words: quasi C-continuity    C-algebraic lattice    property M    Scott topology    Sober space
收稿日期: 2014-03-25 出版日期: 2018-06-10
CLC:  O153.1  
基金资助: 国家自然科学基金(61103018; 61300153)
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何青玉
徐罗山

引用本文:

何青玉, 徐罗山. Scott闭集格的C-代数性及其应用[J]. 高校应用数学学报, 2014, 29(3): 369-374.

HE Qing-yu, XU Luo-shan. C-algebraicity of Scott-closed lattices and its applications. Applied Mathematics A Journal of Chinese Universities, 2014, 29(3): 369-374.

链接本文:

http://www.zjujournals.com/amjcua/CN/    或    http://www.zjujournals.com/amjcua/CN/Y2014/V29/I3/369

[1] 毛徐新, 徐罗山. 测度拓扑和连续偏序集的刻画[J]. 高校应用数学学报, 2014, 29(4): 462-466.