Injective object
In mathematics, especially in the field of category theory, the concept of injective object is a generalization of the concept of injective module. This concept is important in cohomology, in homotopy theory and in the theory of model categories. The dual notion is that of a projective object.
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Category OCategory of metric spacesCategory of modulesCategory of ringsCategory of setsDedekind–MacNeille completionDerived categoryDerived functorDivisible groupEnough injectivesEssential monomorphismExt functorFrobenius algebraGiraud subcategoryGlossary of category theoryGrothendieck's Tôhoku paperGrothendieck spectral sequenceGroup cohomologyHahn–Banach theoremHighest-weight categoryHopfian objectHorseshoe lemmaHyperhomologyInjective hullInjective metric spaceInjective moduleInjective sheafInverse limitLeray spectral sequenceMitchell's embedding theoremProjective objectResolution (algebra)Sheaf of modulesTimeline of category theory and related mathematics
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Injective object
In mathematics, especially in the field of category theory, the concept of injective object is a generalization of the concept of injective module. This concept is important in cohomology, in homotopy theory and in the theory of model categories. The dual notion is that of a projective object.
has abstract
In mathematics, especially in ...... s that of a projective object.
@en
Injektives Objekt ist ein Begr ...... lgebiet der Kategorientheorie.
@de
Ін'єктивний об'єкт — теоретико ...... поняття проективного об'єкта.
@uk
Инъективный объект — теоретико ...... понятие — проективный объект.
@ru
数学，特に圏論において，単射的対象（たんしゃてきたいしょう， ...... デル圏の理論において重要である．双対概念は射影的対象である．
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1,006,542,116
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In mathematics, especially in ...... s that of a projective object.
@en
Injektives Objekt ist ein Begr ...... lgebiet der Kategorientheorie.
@de
Ін'єктивний об'єкт — теоретико ...... поняття проективного об'єкта.
@uk
Инъективный объект — теоретико ...... понятие — проективный объект.
@ru
数学，特に圏論において，単射的対象（たんしゃてきたいしょう， ...... デル圏の理論において重要である．双対概念は射影的対象である．
@ja
label
Injective object
@en
Injektives Objekt
@de
Ін'єктивний об'єкт
@uk
Инъективный объект
@ru
単射的対象
@ja
단사 대상
@ko