A Bass equality for Gorenstein injective dimension of modules finite over homomorphisms
classification
🧮 math.AC
keywords
dimensionfinitegorensteininjectivebassdepthequalityequals
read the original 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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