n-T-torsionfree modules

被引：0
|
作者：
Zhang, Peiyu [1 ]
Geng, Jie [2 ]
机构：
[1] Anhui Polytech Univ, Sch Math & Phys, Wuhu, Peoples R China
[2] Anhui Inst Informat Technol, Wuhu, Peoples R China
来源：
TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 02期
基金：
中国国家自然科学基金;
关键词：
n-torsionfree modules; n-T-torsionfree module; n-spherical; T-grade;
D O I：
10.3906/mat-1808-134
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
As a generalization of the Auslander-Reiten transpose, Xi introduced and studied a more general transpose, called the relative transpose (or, T-transpose). Based on this notion, the notion of relative n-torsionfree modules (or, n-T-torsionfree modules) is introduced in this paper, which is a generalization of the n-torsionfree modules introduced by Auslander and Bridger. We show that relative n-torsionfree modules have many similar properties of n-torsionfree modules.
引用
收藏
页码：688 / 701
页数：14
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