Minimal injective resolutions under flat base change-Reference-Cited by-同舟云学术

Minimal injective resolutions under flat base change

Published:1977 Issue:1 Volume:67 Page:27-31
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Foxby Hans-Bjørn,Thorup Anders

Abstract

For a flat morphism φ : A → B \varphi :A \to B of noetherian rings, the minimal injective resolution of the B-module M ⊗ A B 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 φ \varphi .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-067-01/S0002-9939-1977-0453724-1/S0002-9939-1977-0453724-1.pdf

Reference9 articles.

1. On the ubiquity of Gorenstein rings;Bass, Hyman;Math. Z.,1963

2. Fibres formelles d’un anneau local noethérien;Ferrand, Daniel;Ann. Sci. \'{E}cole Norm. Sup. (4),1970

3. Gorenstein modules and related modules;Foxby, Hans-Bjørn;Math. Scand.,1972

4. Injective modules under flat base change;Foxby, Hans-Bjørn;Proc. Amer. Math. Soc.,1975

5. \bysame, On the 𝜇ⁱ in a minimal injective resolution. II, Kobenhavns Univ. Mat. Inst. (preprint).

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