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Additive category

In mathematics, specifically in category theory, an additive category is a preadditive category admitting all finitary biproducts.

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Overview

Definition

Generalization

Examples

Internal characterisation of the addition law

Matrix representation of morphisms

Additive functors

Special cases

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Map overview Semantic statistics

Additive category

Nodes61
Edges60
Triples28
Avg. degree1.97
Density0.032787
Components1

How this topic connects Entity context

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Additive category

Top relations

related to Matrix representation of morphisms · 6
Additive category → A1, An, B1, Bm, Given, Using
related to Internal characterisation of the addition law · 4
Additive category → In, Let, Moreover, Then
related to Special cases · 4
Additive category → Ab, An, Many, The
related to Via semiadditive categories · 4
Additive category → Define, Hom, It, We
related to Examples · 3
Additive category → Ab, More, The
related to Via preadditive categories · 3
Additive category → Both, In, The
is a · 2
Additive category → category of abelian groups Ab, preadditive category admitting all finitary biproducts
related to Definition · 2
Additive category → One, There

Important terminology Word statistics

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Important terminology

category additive morphisms matrices categories abelian object morphism preadditive ring addition biproduct biproducts every matrix finitary composition zero given semiadditive

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Additive categoryis apreadditive category admitting all finitary biproducts0.90text
Additive categoryis acategory of abelian groups Ab0.90text
Additive categoryrelated to DefinitionThere0.60section
Additive categoryrelated to DefinitionOne0.60section
Additive categoryrelated to ExamplesThe0.60section
Additive categoryrelated to ExamplesAb0.60section
Additive categoryrelated to ExamplesMore0.60section
Additive categoryrelated to Internal characterisation of the addition lawLet0.60section
Additive categoryrelated to Internal characterisation of the addition lawThen0.60section
Additive categoryrelated to Internal characterisation of the addition lawMoreover0.60section
Additive categoryrelated to Internal characterisation of the addition lawIn0.60section
Additive categoryrelated to Matrix representation of morphismsGiven0.60section

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