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abelian subcategory

Context

Notions of subcategory

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Homological algebra

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Context

Basic definitions

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Stable homotopy theory notions

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Constructions

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Homology theories

Theorems

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Contents

Definition

For 𝒜\mathcal{A} an abelian category an abelian subcategory is a subcategory 𝒜\mathcal{B} \to \mathcal{A} such that B\mathbf{B} is also abelian and such that every exact sequence in \mathcal{B} is also exact in 𝒜\mathcal{A}.

References

Section 1.2 of

Created on August 24, 2012 at 14:03:37. See the history of this page for a list of all contributions to it.