nLab pre-additive category

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Preadditive categories

Context

Additive and abelian categories

Homological algebra

homological algebra

(also nonabelian homological algebra)

Introduction

Context

Basic definitions

Stable homotopy theory notions

Constructions

Lemmas

diagram chasing

Schanuel's lemma

Homology theories

Theorems

Preadditive categories

Definition

Some authors take pre-additive category to mean Ab Ab -enriched category, for example:

Other authors require in addition the existence of a zero object (which, this being the empty coproduct, is the first step towards requiring more general finite coproducts as for an additive category, whence the terminology):

  • Sandro M. Roch, Def. 1.0.4 in: A brief introduction to abelian categories (2020) [pdf]

Last revised on August 5, 2023 at 08:00:30. See the history of this page for a list of all contributions to it.