Gorenstein injective envelopes of Artinian modules
Commutative Algebra
2013-06-20 v1
Abstract
Let R be a commutative Noetherian ring and A an Artinian R-module. We prove that if A has finite Gorenstein injective dimension, then A possesses a Gorenstein injective envelope which is special and Artinian. This, in particular, yields that over a Gorenstein ring any Artinian module possesses a Gorenstein injective envelope which is special and Artinian.
Cite
@article{arxiv.1306.4452,
title = {Gorenstein injective envelopes of Artinian modules},
author = {Massoumeh Nikkhah Babaei and Kamran Divaani-Aazar},
journal= {arXiv preprint arXiv:1306.4452},
year = {2013}
}
Comments
To appear in Communications in Algebra, 7 pages