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preadditive functor (Definition)

Definition 0.1. A functor between two preadditive categories 𝒜𝒫 and 𝒜′𝒫 is called a (pre) additive (or preadditive) functor, if for any pair of morphisms f,g ∈ Hom𝒜𝒫(X,Y ) one has that F(f + g) = F(f) + F(g).


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Cross-references: categories, functor
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This is version 1 of preadditive functor, born on 2009-05-03.
Object id is 729, canonical name is PreadditiveFunctor.
Accessed 1629 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
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