余纯投射维数换环定理

吉林大学学报(理学版) ›› 2018, Vol. 56 ›› Issue (6): 1345-1358.

余纯投射维数换环定理

熊涛¹, 王芳贵², 乔磊²

1. 西华师范大学数学与信息学院, 四川南充 637002; 2. 四川师范大学数学与软件科学学院, 成都 610068

收稿日期:2017-11-15 出版日期:2018-11-26 发布日期:2018-11-23
通讯作者: 熊涛 E-mail:xiangqian2004@163.com

Change Theorem of Rings for Copure Projective Dimensions

XIONG Tao^1, WANG Fanggui^2, QIAO Lei^2

1. School of Mathematics & Information, China West Normal University, Nanchong 637002, Sichuan Province, China;2. School of Mathematical and Software Science, Sichuan Normal University, Chengdu 610068, China

Received:2017-11-15 Online:2018-11-26 Published:2018-11-23

摘要/Abstract

摘要： 设R是环, cpD(R)表示R的余纯投射维数. 基于cpD(R)的性质, 给出该维数的换环定理.

关键词: 余纯投射模, 余纯投射维数, 换环定理

Abstract: Let R be a ring, cpD(R) stand for the copure projective dimension of a ring R. We gave the change theorem of rings on the dimension of ring R based on the properties of cpD(R).

Key words: copure projective module, copure projective dimension, change theorem of ring

中图分类号:

O154

熊涛, 王芳贵, 乔磊. 余纯投射维数换环定理[J]. 吉林大学学报(理学版), 2018, 56(6): 1345-1358.

XIONG Tao, WANG Fanggui, QIAO Lei. Change Theorem of Rings for Copure Projective Dimensions[J]. Journal of Jilin University Science Edition, 2018, 56(6): 1345-1358.