Abstract
Let C be an abelian category and F a (covariant) functor from C to abelian groups. We say that F is a coherent functor if there exists an exact sequence (X, _) → (Y, _) → F → 0 where (X, A) denotes the maps from X to A. The main purpose of this paper is to initiate a study of the full sub category Č of coherent functors and give some applications to the theory of complexes in abelian categories as well as to some more specialized questions concerning modules over rings.
Received September 13, 1965.
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© 1966 Springer-Verlag Berlin · Heidelberg
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Auslander, M. (1966). Coherent Functors. In: Eilenberg, S., Harrison, D.K., MacLane, S., Röhrl, H. (eds) Proceedings of the Conference on Categorical Algebra. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-99902-4_8
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