Bull. Korean Math. Soc. 2017; 54(6): 1935-1950
Online first article November 7, 2017 Printed November 30, 2017
https://doi.org/10.4134/BKMS.b160547
Copyright © The Korean Mathematical Society.
Junpeng Wang
Northwest Normal University
Let $R$ be a Ding-Chen ring. Yang \cite{Yang2012} and Zhang \cite{Zhang2015} asked whether or not every $R$-module has finite Ding projective or Ding injective dimension. In this paper, we give a new characterization of that all modul\-es have finite Ding projective and Ding injective dimension in terms of the relationship between Ding projective and Gorenstein flat modules. We also give an example to obtain negative answer to the above question.
Keywords: Ding projective module, Gorenstein flat module, Ding-Chen ring
MSC numbers: 16E65, 18G20, 18G25
2014; 51(1): 173-187
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