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- Projective_object abstract "In category theory, the notion of a projective object generalizes the notion of a projective module.An object P in a category C is projective if the hom functorpreserves epimorphisms. That is, every morphism f:P→X factors through every epi Y→X.Let be an abelian category. In this context, an object is called a projective object if is an exact functor, where is the category of abelian groups. The dual notion of a projective object is that of an injective object: An object in an abelian category is injective if the functor from to is exact.".
- Projective_object wikiPageID "3017382".
- Projective_object wikiPageRevisionID "544175016".
- Projective_object hasPhotoCollection Projective_object.
- Projective_object id "6437".
- Projective_object id "6506".
- Projective_object title "Enough projectives".
- Projective_object title "Projective object".
- Projective_object subject Category:Homological_algebra.
- Projective_object subject Category:Objects_(category_theory).
- Projective_object comment "In category theory, the notion of a projective object generalizes the notion of a projective module.An object P in a category C is projective if the hom functorpreserves epimorphisms. That is, every morphism f:P→X factors through every epi Y→X.Let be an abelian category. In this context, an object is called a projective object if is an exact functor, where is the category of abelian groups.".
- Projective_object label "Projective object".
- Projective_object label "Projektives Objekt".
- Projective_object label "內射對象與投射對象".
- Projective_object sameAs Projektives_Objekt.
- Projective_object sameAs m.08ktgb.
- Projective_object sameAs Q2112502.
- Projective_object sameAs Q2112502.
- Projective_object wasDerivedFrom Projective_object?oldid=544175016.
- Projective_object isPrimaryTopicOf Projective_object.