- International Electronic Journal of Algebra
- Vol: 22 Issue: 22
- A characterization of Gorenstein Dedekind domains
A characterization of Gorenstein Dedekind domains
Authors : Tao Xiong
Pages : 97-102
Doi:10.24330/ieja.325929
View : 13 | Download : 8
Publication Date : 2017-07-11
Article Type : Research
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