Properties and characterizations of ν-C-continuous posets

IF 0.5 2区数学 Q3 MATHEMATICS

International Journal of Algebra and Computation Pub Date : 2020-01-01 DOI:10.12988/ija.2020.91271

Xuxin Mao, Luoshan Xu

引用次数: 0

Abstract

In this paper, for a fixed cardinal ν, the concept of ν-C-continuous posets is introduced. Properties and characterizations of ν-C-continuous posets are presented. The main results are: (1) The lattice of all ν-Scottclosed subsets for a poset is a ν-C-continuous lattice; (2) A complete lattice is a completely distributive lattice iff it is ν-C-continuous and ν-continuous. Mathematics Subject Classifications: 06A11; 06B35; 54C35; 54D45

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ν- c -连续序集的性质与表征

对于固定基数ν，引入ν- c连续序集的概念。给出了ν- c连续偏集的性质和特征。主要结果有:(1)一个偏集的所有ν- scott闭子集的格是ν- c连续格;(2)完全格是ν-c连续和ν-连续的完全分配格。数学学科分类:06A11;06 b35;54 c35;54 d45

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Algebra and Computation 数学-数学

CiteScore

1.20

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The International Journal of Algebra and Computation publishes high quality original research papers in combinatorial, algorithmic and computational aspects of algebra (including combinatorial and geometric group theory and semigroup theory, algorithmic aspects of universal algebra, computational and algorithmic commutative algebra, probabilistic models related to algebraic structures, random algebraic structures), and gives a preference to papers in the areas of mathematics represented by the editorial board.