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Derived functors as homotopy groups

Part of: Abelian categories Homological algebra

Published online by Cambridge University Press:  09 April 2009

A. K. Modawi
A. K. Modawi
Affiliation:
Department of Mathematics and Computer Sciences U.A.E. UniversityP. O. Box 15551 Al-Ain United Arab Emirates
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Abstract

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In this paper a generalization of the interpretation of Robinson of torsion products as homotopy groups is given. This generalization allows us to define right derived functors of a coproduct preserving functor defined on a small category with all finite colimits to the category of abelian groups. We show that when the category is additive the definition coincides with the definitions of the right derived functors of Cartan and Eilenberg.

Keywords

Categoriesderived functorsinfinite loop spacesspectra.

MSC classification

Secondary: 18E25: Derived functors and satellites 18G10: Resolutions; derived functors
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 3 , June 1990 , pp. 506 - 511
Copyright
Copyright © Australian Mathematical Society 1990

References

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