Preadditive category
= Preadditive category
{wiki=Preadditive_category}
A **preadditive category** is a type of category in the field of category theory that has structures resembling abelian groups in its hom-sets. Specifically, a preadditive category satisfies the following properties: 1. **Hom-sets as Abelian Groups**: For any two objects \\(A\\) and \\(B\\) in the category, the set of morphisms \\(\\text\{Hom\}(A, B)\\) forms an abelian group.