A characterization of Gorenstein Dedekind domains

Year 2017, Volume: 22 Issue: 22, 97 - 102, 11.07.2017

Tao Xiong

https://doi.org/10.24330/ieja.325929

https://izlik.org/JA52XR22ZH

Abstract

In this paper, we show that a domain $R$ is a Gorenstein Dedekind
domain if and only if every divisible module is Gorenstein
injective; if and only if every divisible module is copure
injective.

Keywords

Gorenstein Dedekind domain , divisible module

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