Gorenstein投射模何时是Ding投射模（英文）  

WHEN GORENSTEIN PROJECTIVE MODULES ARE DING PROJECTIVE

作　　者：汪建[1] 李云霞[1] Wang Jian;Li Yunxia(Department of Basic Science,Jinling Institute of Technology,Nanjing 211169)

机构地区：[1]金陵科技学院,南京211169

出　　处：《南京大学学报（数学半年刊）》2018年第1期20-29,共10页Journal of Nanjing University(Mathematical Biquarterly)

基　　金：partially supported by NSFC(11501257);Jinling Institute of Technology of China(No.jit-gjfh-201502,jit-b-201615,jit-b-201638)

摘　　要：本文主要利用强Gorenstein投射模、相对纯投射模等概念,研究了何时每个Gorenstein投射模是Ding投射模.作为应用,我们证明了:若R是1-FC环,则每个Gorenstein投射左或右R-模均是Ding投射模.We characterize when every Gorenstein projective module is Ding projective in terms of strongly Gorenstein projective modules,relative pure projective modules.As a corollary,we prove that any Gorenstein projective left or right R-module is Ding projective provided that R is a 1-FC ring.

关 键 词：GORENSTEIN投射模 Ding投射模 G-半遗传环 

分 类 号：O154.2[理学—数学]