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enough injectives (Definition)

An abelian category is said to have enough injectives if for every object $X$ , there is a monomorphism $0\to X\to I$ where $I$ is an injective object.




"enough injectives" is owned by bwebste.
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See Also: enough projectives, projective object


Attachments:
example of enough injectives (Example) by Glotzfrosch
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Cross-references: monomorphism, object, abelian category
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This is version 2 of enough injectives, born on 2003-08-16, modified 2003-08-16.
Object id is 4605, canonical name is EnoughInjectives.
Accessed 2730 times total.

Classification:
AMS MSC18E99 (Category theory; homological algebra :: Abelian categories :: Miscellaneous)

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