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ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2017; 54(2): 427-440
Online first article December 7, 2016 Printed March 1, 2017
https://doi.org/10.4134/JKMS.j160014
Copyright © The Korean Mathematical Society.
Rings of copure projective dimension one
Tao Xiong
Sichuan Normal University
In this paper, in terms of the notions of {\rm strongly} copure projective modules and the copure projective dimension $cpD(R)$ of a ring $R$ were defined in \cite{FZD12}, we show that a domain $R$ has $cpD(R)\leq 1$ if and only if $R$ is a Gorenstein Dedekind domain.
Keywords: strongly copure projective modules, copure projective dimension, Gorenstein Dedekind domains
MSC numbers: 16E05, 16E10
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