Minimal injective resolutions under flat base change

Foxby, Hans-Bjørn; Thorup, Anders

doi:10.1090/S0002-9939-1977-0453724-1

Minimal injective resolutions under flat base change
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by Hans-Bjørn Foxby and Anders Thorup PDF

Proc. Amer. Math. Soc. 67 (1977), 27-31 Request permission

Abstract:

For a flat morphism $\varphi :A \to B$ of noetherian rings, the minimal injective resolution of the B-module $M{ \otimes _A}B$ is described in terms of the minimal injective resolution of the finitely generated A-module M and the minimal injective resolutions of the fibers of $\varphi$.

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On the

in a minimal injective resolution

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