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

JOURNAL OF ALGEBRA

卷:530

Article

Wang, Jian¹  Li, Yunxia¹  Hu, Jiangsheng² 

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

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

关键词: Cotorsion pair;    Additive closure;    Strongly Gorenstein projective module;    Tilting module;   

DOI  :  10.1016/j.jalgebra.2019.03.031

来源: Elsevier

【 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.

【 授权许可】

Free