Quantale的最大左半可换商

吉林大学学报(理学版)

Quantale的最大左半可换商

董倩, 汪开云

陕西师范大学数学与信息科学学院, 西安 710119

收稿日期:2015-09-17 出版日期:2016-05-26 发布日期:2016-05-20
通讯作者: 汪开云 E-mail:wangkaiyun@snnu.edu.cn

The Largest Left Semicommutative Quotient of a Quantale

DONG Qian, WANG Kaiyun

School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China

Received:2015-09-17 Online:2016-05-26 Published:2016-05-20
Contact: WANG Kaiyun E-mail:wangkaiyun@snnu.edu.cn

摘要/Abstract

摘要：

通过引入Quantale上左半可换核映射的概念, 用Quantale中的左准对称元给出最大左半可换商的刻画, 证明了左半可换Quantale范畴是Quantale范畴的反射子范畴, 并讨论了局部核映射与左半可换核映射之间的关系.

关键词: Quantale, Quantale商, 左半可换核映射, 局部核映射

Abstract:

By introducing the concept of a left semicommutative nucleus on a Quantale, we gave a characterization of the largest left semi-commutative quotient of a Quantale by means of its left presymmetric elements, proved that the category of left semicommutative Quantales are reflective subcategory of the category of Quantales, and discussed the relationships between localic nuclei and left semicommutative nuclei.

Key words: Quantale, quotient of Quantale, left semicommutative nucleus, localic nucleus

中图分类号:

O153.1

董倩, 汪开云. Quantale的最大左半可换商[J]. 吉林大学学报(理学版), 2016, 54(03): 421-426.

DONG Qian, WANG Kaiyun. The Largest Left Semicommutative Quotient of a Quantale[J]. Journal of Jilin University Science Edition, 2016, 54(03): 421-426.

[1]	邬宏伟, 汪开云. 模糊Z-Quantale范畴的反射子范畴[J]. 吉林大学学报(理学版), 2018, 56(4): 805-811.
[2]	吴涛, 吴洪博. Quantale 系统的嵌入[J]. 吉林大学学报(理学版), 2017, 55(05): 1084-1088.
[3]	武全, 赵彬. 模糊S-偏序集的内射壳[J]. 吉林大学学报(理学版), 2017, 55(02): 216-224.
[4]	马娜娜, 赵彬. Quantale代数核映射及其扩张[J]. 吉林大学学报(理学版), 2016, 54(01): 21-26.