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



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Cross-references: morphisms, 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 366 times total.

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