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RINGS OF COPURE PROJECTIVE DIMENSION ONE

Tao Xiong
대한수학회 (The Korean Mathematical Society)|2017.03|대한수학회지 (Journal of the KMS)|제54권 제2호|pp. 427-440

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참고문헌

키워드

strongly copure projective modulescopure projective dimensionGorenstein Dedekind domains
주제분류수학

초록

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.

Abstract

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.

참고문헌 (23)

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