A Note of Regularity on Completely Distributive Lattices

数学季刊 ›› 1994, Vol. 9 ›› Issue (1): 60-64.

A Note of Regularity on Completely Distributive Lattices

Xuzhou Teachers College,221009

收稿日期:1993-03-06 出版日期:1994-03-30 发布日期:2025-05-13

A Note of Regularity on Completely Distributive Lattices

Xuzhou Teachers College,221009

Received:1993-03-06 Online:1994-03-30 Published:2025-05-13

摘要/Abstract

摘要： In this note,the author gives some characterizations of regularity and complete regularity of topological molecular lattices,then shows that any regular and strong normal topological molecular lattice is completely regular;finally proves that every paracompact and regular topological molecular lattice is stronge normal,and further completely regular.

关键词: completely distributive lattices, molecules, topological molecular lattices, regularity, paracompactnesses

Abstract: In this note,the author gives some characterizations of regularity and complete regularity of topological molecular lattices,then shows that any regular and strong normal topological molecular lattice is completely regular;finally proves that every paracompact and regular topological molecular lattice is stronge normal,and further completely regular.

Key words: completely distributive lattices, molecules, topological molecular lattices, regularity, paracompactnesses

中图分类号:

O153

陈仪香. A Note of Regularity on Completely Distributive Lattices[J]. 数学季刊, 1994, 9(1): 60-64.

Chen Yixiang. A Note of Regularity on Completely Distributive Lattices[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(1): 60-64.

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A Note of Regularity on Completely Distributive Lattices

A Note of Regularity on Completely Distributive Lattices

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