k-Gorenstein Modules  

作　　者：Zhao Yong HUANG 

机构地区：[1]Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2007年第8期1463-1474,共12页数学学报（英文版）

基　　金：Research partially supported by Specialized Research Fund for the Doctoral Program of Higher Education(Grant No.20030284033,20060284002);NSF of Jiangsu Province of China(Grant No.BK2005207)

摘　　要：Let A and F be artin algebras and ∧UГa paper, we first introduce the notion of k-Gorenstein faithfully balanced selforthogonal bimodule. In this modules with respect to ∧UГ and then characterize it in terms of the U-resolution dimension of some special injective modules and the property of the functors Ext^i （Ext^i （-, U）, U） preserving monomorphisms, which develops a classical result of Auslander. As an application, we study the properties of dual modules relative to Gorenstein bimodules. In addition, we give some properties of ∧UГwith finite left or right injective dimension.Let A and F be artin algebras and ∧UГa paper, we first introduce the notion of k-Gorenstein faithfully balanced selforthogonal bimodule. In this modules with respect to ∧UГ and then characterize it in terms of the U-resolution dimension of some special injective modules and the property of the functors Ext^i （Ext^i （-, U）, U） preserving monomorphisms, which develops a classical result of Auslander. As an application, we study the properties of dual modules relative to Gorenstein bimodules. In addition, we give some properties of ∧UГwith finite left or right injective dimension.

关 键 词：κ-Gorenstein modules grade of modules injective dimension 

分 类 号：O15[理学—数学]