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arXiv · 1306.4452

Gorenstein injective envelopes of Artinian modules

Massoumeh Nikkhah Babaei·Kamran Divaani-Aazar
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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.

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Massoumeh Nikkhah Babaei, Kamran Divaani-Aazar. 2013-06-19. Gorenstein injective envelopes of Artinian modules. https://arxiv.org/abs/1306.4452

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