Preadditive category
id:
preadditive-category-189-17414966
title:
Preadditive category
text:
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, Ab.
That is, an Ab-category C is a category such that
every hom-set Hom(A,B) in C has the structure of an abelian group, and composition of morphisms is bilinear, in the sense that composition of morphisms distributes over the group operation.
In formulas: f ∘ ( g + h ) = ( f ∘ g ) + ( f ∘ h ) and ( f + g ) ∘ h = ( f ∘
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical category whose hom sets form Abelian groups
original url:
https://en.wikipedia.org/wiki/Preadditive_category
date created:
2002-06-26T01:31:10Z
date modified:
2024-09-09T18:00:36Z
main entity:
{"identifier":"Q2099981","url":"https://www.wikidata.org/entity/Q2099981"}
image:
fields total:
13
integrity:
15