abelian category

preadditive category with a zero object and all binary biproducts, kernels and cokernels in which all monomorphisms and epimorphisms are normal
Intangible mathematical_concept Q318737
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abelian category

Summary

abelian category is a mathematical concept[1]. It draws 340 Wikipedia views per month (mathematical_concept category, ranking #180 of 1,007).[2]

Key Facts

  • abelian category's instance of is recorded as mathematical concept[3].
  • abelian group is named after abelian category[4].
  • abelian category is a type of quasi-abelian category[5].
  • abelian category's studied by is recorded as homological algebra[6].
  • abelian category's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

abelian category's instance of is recorded as mathematical concept[3]. It is a type of quasi-It[5].

Origins

abelian group is named after abelian category[4].

Why It Matters

abelian category draws 340 Wikipedia views per month (mathematical_concept category, ranking #180 of 1,007).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[8] It is known by 3 alternative names across languages and contexts.[9]

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). abelian category. Retrieved May 3, 2026, from https://4ort.xyz/entity/abelian-category
MLA “abelian category.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/abelian-category.
BibTeX @misc{4ortxyz_abelian-category_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{abelian category}}, year = {2026}, url = {https://4ort.xyz/entity/abelian-category}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): abelian category — https://4ort.xyz/entity/abelian-category (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 8d ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Studied by homological algebra
    Instance of
    Subclass of quasi-abelian category
    Maintained by wikiproject WikiProject Mathematics
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007292972805171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.