Homological Behavior of Relative Cotorsionfree and Cosyzygy Modules

• 来源期刊: 代数集刊（英文版）
• 关键词: semidualizing bimodule cotorsionfree module cosyzygy module extension closure (strong) cograde
• 年，卷（期）: 2019,（3）
• 页码范围: 467-478
• 页数: 12页
• 语种: 英文
• DOI: 10.1142/S1005386719000348

摘要

As the dual of the Auslander transpose and the resulting k-torsionfree module,the cotranspose and k-cotorsionfree module with respect to a semidualizing bimodule have been introduced recently.In this paper we first investigate the relation between relative k-cotorsionfree modules and relative k-cosyzygy modules.Then we study the extension closure of these two classes of modules.