preadditive functor

(Definition)

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

"preadditive functor" is owned by bci1.
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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 1746 times total.

Classification:

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

preadditive functor

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