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A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms

Published 16 Feb 2019 in math.AC | (1902.06017v2)

Abstract: Let $R \to S$ be a local ring homomorphism and $N$ a finitely generated $S$-module. We prove that if the Gorenstein injective dimension of $N$ over $R$ is finite, then it equals the depth of $R$.

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