Quantales的连通性

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 303-309.

Quantales的连通性

1. School of Mathematics and Statistics, Nanyang Normal University2. College of Mathematics and Information Science, Shaanxi Normal University

收稿日期:2006-06-06 出版日期:2009-06-30 发布日期:2023-08-11
作者简介: WANG Shun-qin(1966-), male, native of Nanyang, Henan, an associate professor of Nanyang Normal University, Ph.D., engages in topology on lattice.
基金资助:
Supported by the National Natural Science Foundation of China(10871121)； Supported by the Research Award for Teachers in Nangyang Normal University(nynu200749)；

The Connectedness of Quantales

1. School of Mathematics and Statistics, Nanyang Normal University2. College of Mathematics and Information Science, Shaanxi Normal University

Received:2006-06-06 Online:2009-06-30 Published:2023-08-11
About author: WANG Shun-qin(1966-), male, native of Nanyang, Henan, an associate professor of Nanyang Normal University, Ph.D., engages in topology on lattice.
Supported by:
Supported by the National Natural Science Foundation of China(10871121)； Supported by the Research Award for Teachers in Nangyang Normal University(nynu200749)；

摘要/Abstract

摘要： The concepts of connectedness and locally connectedness is introduced for right- side idempotent quantales. Some properties of connected quantale are studied, and then the equivalent characterization of connected quantale is also given.

关键词: complete lattice, quantale, connectedness, regular Quantale

Abstract: The concepts of connectedness and locally connectedness is introduced for right- side idempotent quantales. Some properties of connected quantale are studied, and then the equivalent characterization of connected quantale is also given.

Key words: complete lattice, quantale, connectedness, regular Quantale

中图分类号:

O189

王顺钦, 赵彬. Quantales的连通性[J]. 数学季刊, 2009, 24(2): 303-309.

WANG Shun-qin, ZHAO Bin. The Connectedness of Quantales[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 303-309.

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