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- Injective_cogenerator abstract "In category theory, the concept of an injective cogenerator is drawn from examples such as Pontryagin duality. Generators are objects which cover other objects as an approximation, and (dually) cogenerators are objects which envelope other objects as an approximation. When working with unfamiliar algebraic objects, one can use these to approximate with the more familiar.More precisely: A generator of a category with a zero object is an object G such that for every nonzero object H there exists a nonzero morphism f:G → H. A cogenerator is an object C such that for every nonzero object H there exists a nonzero morphism f:H → C. (Note the reversed order).".
- Injective_cogenerator wikiPageID "244568".
- Injective_cogenerator wikiPageLength "3953".
- Injective_cogenerator wikiPageOutDegree "22".
- Injective_cogenerator wikiPageRevisionID "607145150".
- Injective_cogenerator wikiPageWikiLink Abelian_category.
- Injective_cogenerator wikiPageWikiLink Abelian_group.
- Injective_cogenerator wikiPageWikiLink Algebraically_compact_module.
- Injective_cogenerator wikiPageWikiLink Category:Category_theory.
- Injective_cogenerator wikiPageWikiLink Category_theory.
- Injective_cogenerator wikiPageWikiLink Circle_group.
- Injective_cogenerator wikiPageWikiLink Direct_sum_of_groups.
- Injective_cogenerator wikiPageWikiLink Divisible_group.
- Injective_cogenerator wikiPageWikiLink Faithful_functor.
- Injective_cogenerator wikiPageWikiLink Free_abelian_group.
- Injective_cogenerator wikiPageWikiLink Full_and_faithful_functors.
- Injective_cogenerator wikiPageWikiLink Functor.
- Injective_cogenerator wikiPageWikiLink Initial_and_terminal_objects.
- Injective_cogenerator wikiPageWikiLink Injective.
- Injective_cogenerator wikiPageWikiLink Injective_function.
- Injective_cogenerator wikiPageWikiLink Interval_(mathematics).
- Injective_cogenerator wikiPageWikiLink Module_(mathematics).
- Injective_cogenerator wikiPageWikiLink Pontryagin_duality.
- Injective_cogenerator wikiPageWikiLink Pure_injective_module.
- Injective_cogenerator wikiPageWikiLink Separation_axiom.
- Injective_cogenerator wikiPageWikiLink Surjective.
- Injective_cogenerator wikiPageWikiLink Surjective_function.
- Injective_cogenerator wikiPageWikiLink Tietze_extension_theorem.
- Injective_cogenerator wikiPageWikiLink Topological_space.
- Injective_cogenerator wikiPageWikiLink Zero_morphism.
- Injective_cogenerator wikiPageWikiLink Zero_object.
- Injective_cogenerator wikiPageWikiLinkText "Injective cogenerator".
- Injective_cogenerator wikiPageWikiLinkText "cogenerator".
- Injective_cogenerator wikiPageWikiLinkText "injective cogenerator".
- Injective_cogenerator wikiPageWikiLinkText "projective generator".
- Injective_cogenerator hasPhotoCollection Injective_cogenerator.
- Injective_cogenerator wikiPageUsesTemplate Template:For.
- Injective_cogenerator wikiPageUsesTemplate Template:Refimprove.
- Injective_cogenerator wikiPageUsesTemplate Template:Reflist.
- Injective_cogenerator subject Category:Category_theory.
- Injective_cogenerator type Article.
- Injective_cogenerator type Article.
- Injective_cogenerator type Function.
- Injective_cogenerator comment "In category theory, the concept of an injective cogenerator is drawn from examples such as Pontryagin duality. Generators are objects which cover other objects as an approximation, and (dually) cogenerators are objects which envelope other objects as an approximation.".
- Injective_cogenerator label "Injective cogenerator".
- Injective_cogenerator sameAs m.01kf72.
- Injective_cogenerator sameAs Q6034312.
- Injective_cogenerator sameAs Q6034312.
- Injective_cogenerator wasDerivedFrom Injective_cogenerator?oldid=607145150.
- Injective_cogenerator isPrimaryTopicOf Injective_cogenerator.