Homological Behavior of Relative Cotorsionfree and Cosyzygy Modules  

作　　者：Guoqiang Zhao Bo Zhang 

机构地区：[1]Department of Mathematics,Hangzhou Dianzi University,Hangzhou 310018,China [2]School of Mathematics and Information Science,Henan Polytechnic University Jiaozuo,Henan 454000,China

出　　处：《Algebra Colloquium》2019年第3期467-478,共12页代数集刊（英文版）

基　　金：This research was partially supported by NSFC(11401147,11531002);Natural Science Foundation of Shandong Province of China(ZR2017BA028).

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.

关 键 词：semidualizing BIMODULE cotorsionfree MODULE cosyzygy MODULE extensionclosure (strong)cograde 

分 类 号：O15[理学—数学]