与弱倾斜模有关的对偶对

吉林大学学报(理学版) ›› 2021, Vol. 59 ›› Issue (6): 1356-1360.

与弱倾斜模有关的对偶对

罗佩, 杨晓燕

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2021-03-25 出版日期:2021-11-26 发布日期:2021-11-22
通讯作者: 杨晓燕 E-mail:yxy800218@163.com

Duality Pairs with Respect to Weak Tilting Modules

LUO Pei, YANG Xiaoyan

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2021-03-25 Online:2021-11-26 Published:2021-11-22

摘要/Abstract

摘要： 令W表示弱倾斜模的类, C表示余倾斜模的类, 证明(W,C)在任意环R上是对偶对, 并基于该结果讨论与W相关的模类及余挠对的性质.

关键词: 弱倾斜模, 余倾斜模, 对偶对, 余挠对

Abstract: Let W be a class of weak tilting modules and C be a class of cotilting modules，we prove that (W,C) is duality pair on an arbitrary ring R, and discuss the properties of module class and cotorsion pairs related to W based on this result.

Key words: , weak tilting module, cotilting module, duality pair, cotorsion pair

中图分类号:

O153.3

罗佩, 杨晓燕. 与弱倾斜模有关的对偶对[J]. 吉林大学学报(理学版), 2021, 59(6): 1356-1360.

LUO Pei, YANG Xiaoyan. Duality Pairs with Respect to Weak Tilting Modules[J]. Journal of Jilin University Science Edition, 2021, 59(6): 1356-1360.