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

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.