Relative Syzygies and Grade of Modules

作     者：Zeng Feng LIU Zhao Yong HUANG 

作者机构：Department of Mathematics Nanjing University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2013年第29卷第3期

页      面：489-504页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20100091110034) National Natural Science Foundation of China (Grant No. 11171142) Natural Science Foundation of Jiangsu Province of China (Grant Nos. BK2010047, BK2010007) a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions 

主　　题：n-l-Syzygy modules n-w-torsionfree modules approximation presentations grade 

摘      要：Recently, Takahashi established a new approximation theory for finitely generated modules over commutative Noetherian rings, which unifies the spherical approximation theorem due to Auslan- der and Bridger and the Cohen-Macaulay approximation theorem due to Auslander and Buchweitz. In this paper we generalize these results to much more general case over non-commutative rings. As an application, we establish a relation between the injective dimension of a generalized tilting module w and the finitistic dimension with respect to w.