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 77 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's Library of Congress authority ID is recorded as sh85000127[5].
  • abelian category's subclass of is recorded as quasi-abelian category[6].
  • abelian category's Freebase ID is recorded as /m/0c87_[7].
  • abelian category's studied by is recorded as homological algebra[8].
  • abelian category's MathWorld ID is recorded as AbelianCategory[9].
  • abelian category's nLab ID is recorded as abelian category[10].
  • abelian category's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • abelian category's Microsoft Academic ID is recorded as 186921422[12].
  • abelian category's ProofWiki ID is recorded as Definition:Abelian_Category[13].
  • abelian category's Encyclopedia of Mathematics article ID is recorded as Abelian_category[14].
  • abelian category's National Library of Israel J9U ID is recorded as 987007292972805171[15].
  • abelian category's OpenAlex ID is recorded as C186921422[16].
  • abelian category's ScienceDirect topic ID is recorded as mathematics/abelian-category[17].
  • abelian category's Yale LUX ID is recorded as concept/8c9dfe57-86fe-4141-a058-f0e63dcd2aca[18].

Why It Matters

abelian category draws 77 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.[19] It is known by 3 alternative names across languages and contexts.[20]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . github.com. Retrieved . github.com. Provenance: wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . National Library of Israel Names and Subjects Authority File. wikidata.org.
  14. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . Wikidata aliases. wikidata.org.

📑 Cite this page

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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