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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

The completion of an abelian category


Author: H. B. Stauffer
Journal: Trans. Amer. Math. Soc. 170 (1972), 403-414
MSC: Primary 18E10
DOI: https://doi.org/10.1090/S0002-9947-1972-0302738-0
MathSciNet review: 0302738
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1972-0302738-0
Keywords: Right completion of a category, embedding theorem, AB5 category, left exact functors, adjoint functors
Article copyright: © Copyright 1972 American Mathematical Society