nLab additive and abelian categories - contents

additive and abelian categories

Context and background

• enriched category theory

• homological algebra

• stable homotopy theory

Categories

• Ab-enriched category

• pre-additive category

  • pseudo-abelian category

• additive category,

• (AB1) pre-abelian category

• (AB2) abelian category

• (AB5) Grothendieck category

Functors

• additive functor

• left/right exact functor

Derived categories

• derived category

• derived functor

• homotopy category

• triangulated category

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