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 Übersetzung für 'left exact' von Englisch nach Deutsch
math.
left-exact {adj}
linksexakt
3 Wörter
math.
left-exact functor
linksexakter Funktor {m}
Teiltreffer
access from the left / left-hand sidelinksseitiger Zugang {m}
exact {adj}bestimmt
12
exact {adj}genau
900
to exactfordern
600
to exactabverlangen
721
exact {adj}akkurat [genau]
11
exact {adj}richtig
16
exact {adj}fehlerfrei
11
exact {adj}exakt
109
to exacteintreiben
398
exact {adj}scharf [genau]
6
exact {adj}haargenau [ugs.]
9
exact {adj}pünktlich
96
exact observerscharfer Beobachter {m}
exact addressgenaue Anschrift {f}
exact observergenauer Beobachter {m}
exact specificationgenaue Bezeichnung {f}
exact lengthgenaue Länge {f}
exact pricegenauer Preis {m}
to exact vengeanceVergeltung üben
22 Übersetzungen
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Anwendungsbeispiele Englisch
  • (The problem is that while one can construct a pair of adjoint functors "f"*, "f"*, as needed for a geometric morphism of topoi, the functor "f"* is not left exact in general. ...
  • Suppose that "A" is an abelian category with enough injectives and "F" a left exact functor to another abelian category "B".
  • The direct image functor is left exact, but usually not right exact. Hence one can consider the right derived functors of the direct image. They are called higher direct images and denoted "Rq f"∗.
  • Then it turns out that a functor between pre-abelian categories is left exact if and only if it is additive and preserves all kernels, and it's right exact if and only if it's additive and preserves all cokernels.
  • This is enough to show that right derived functors of any left exact functor exist and are unique up to canonical isomorphism.

  • Precisely, in Lurie's "Higher Topos Theory", an ∞-topos is defined as an ∞-category "X" such that there is a small ∞-category "C" and a left exact localization functor from the ∞-category of presheaves of spaces on "C" to "X".
  • The most basic examples of left exact functors are the Hom functors: if A is an abelian category and "A" is an object of A, then "F'A"("X") = HomA("A","X") defines a covariant left-exact functor from A to the category Ab of abelian groups.
  • Similarly, one can also define right hyper-derived functors for left exact functors.
  • Any injective (projective) resolution is "F"-acyclic for any left exact (right exact, respectively) functor.
  • For a continuous map [...] there is the (left-exact) direct image functor [...].

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