Remarks on Gorenstein Weak Injective and Weak Flat Modules  

作　　者：Tiwei Zhao Yunge Xu 

机构地区：[1]School of Mathematical Sciences,Qufu Normal University Qufu,Shandong 273165,China [2]Faculty of Mathematics and Statistics,Hubei University,Wuhan 430062,China

出　　处：《Algebra Colloquium》2020年第4期687-702,共16页代数集刊（英文版）

基　　金：This work was partially supported by NSFC(Grant Nos.11571164 and 11571341).

摘　　要：In this paper,we introduce Gorenstein weak injective and weak flat modules in terms of,respectively,weak injective and weak flat modules;the classes of Gorenstein weak injective and weak flat modules are larger than the classical classes of Gorenstein injective and flat modules.In this new setting,we characterize rings over which all modules are Gorenstein weak injective.Moreover,we discuss the relation between the weak cosyzygy and Gorenstein weak cosyzygy of a module,and also the stability of Gorenstein weak injective modules.

关 键 词：weak injective module weak flat module Gorenstein weak injective module Gorenstein weak flat module cosyzygy 

分 类 号：O15[理学—数学]