PlanetPhysics/Preadditive Functor
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A functor between two preadditive categories Failed to parse (unknown function "\A"): {\displaystyle \mathcal{\A_P}} and Failed to parse (unknown function "\A"): {\displaystyle \mathcal{\A'_P}} is called a (pre) additive (or preadditive) functor ,
if for any pair of morphisms Failed to parse (unknown function "\A"): {\displaystyle f, g \in Hom_{\mathcal{\A_P}}(X,Y)} one has that .