A modification of Grothendieck’s spectral sequence

Author:

Enochs Edgar

Abstract

Let C, C′ and C″ be abelian categories where C and C′ have enough injectives and let F: C → C′, G: C′ → C″ be additive covariant functors. Then for an object X of C, let C(X) be the complex associated with an injective resolution of X. Grothendieck gets a first quadrant spectral sequence by taking an injective resolution of the complex F(C(X)) and applying G to the associated double complex.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. Universelle Koeffizienten

2. Grothendieck A. , Local Cohomology (notes by Hartshorne R. ).

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the Degree of Hilbert Polynomials of Derived Functors;Mathematical Notes;2019-09

2. Gorenstein injective and projective modules;Mathematische Zeitschrift;1995-12

3. Tensor and torsion products of injective modules;Journal of Pure and Applied Algebra;1991-12

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