When the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module

被引：6

作者：

Wang, Jian ^{[1
]}

Li, Yunxia ^{[1
]}

Hu, Jiangsheng ^{[2
]}

机构：

[1] Jinling Inst Technol, Coll Sci, Nanjing 211169, Jiangsu, Peoples R China

[2] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2019年 / 530卷

关键词：

Cotorsion pair; Additive closure; Strongly Gorenstein projective module; Tilting module; COHERENT RINGS; GORENSTEIN; CONJECTURE; FINITENESS;

D O I：

10.1016/j.jalgebra.2019.03.031

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study when the kernel of a complete hereditary cotorsion pair is the additive closure of a tilting module. Applications go in three directions. The first is to characterize when the little finitistic dimension is finite. The second is to obtain equivalent formulations for a Wakamatsu tilting module to be a tilting module. The third is to give some new characterizations of Gorenstein rings. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：94 / 113

页数：20

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