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A modification of Grothendieck’s spectral sequence

Published online by Cambridge University Press:  22 January 2016

Edgar Enochs
Edgar Enochs*
Affiliation:
Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-6027, U.S.A.
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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.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 112 , December 1988 , pp. 53 - 61
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1988

References

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