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Preadditive category

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Summary

A category whose hom-sets are abelian groups and whose composition is bilinear.

Record metadata

Carrier(s)

Data

Axioms / constraints

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

CategoryPreadditive category

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Give each hom-set an abelian-group structure and make composition bilinear.

How to interpret this relation type

Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.

Relation sources

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Preadditive categoryAdditive category

Permalink to relation

This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Add a zero object and finite biproducts.

How to interpret this relation type

Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.

Relation sources