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Preadditive category

In mathematics, specifically in category theory, a preadditive category is another name for an Ab-category, i.e., a category that is enriched over the category of abelian groups, A b {\displaystyle \mathbf {Ab} } . That is, an Ab-category C {\displaystyle {\mathcal {C}}} is a category such that every hom-set H o m ( A , B ) {\displaystyle \mathrm {Hom}…

Elementary properties, Biproducts & Examples