The completion of an abelian category

Stauffer, H. B.

doi:10.1090/S0002-9947-1972-0302738-0

The completion of an abelian category
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Trans. Amer. Math. Soc. 170 (1972), 403-414 Request permission

Abstract:

Any category $\underline {A}$ can be embedded in its right completion $\underline {\hat {A}}$. When $\underline {A}$ is small and abelian, this completion $\underline {\hat {A}}$ is AB5 and the embedding is exact.

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