field

commutative ring in which every nonzero element is inversible
Thing general Q190109
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field

Summary

field ranks in the top 1% of general entities by monthly Wikipedia readership (1,011 views/month).[1]

Key Facts

  • field's image is recorded as Anillo cíclico.png[2].
  • field's subclass of is recorded as partial algebra[3].
  • field's subclass of is recorded as Euclidean domain[4].
  • field's subclass of is recorded as simple ring[5].
  • field's subclass of is recorded as division ring[6].
  • field's subclass of is recorded as artinian ring[7].
  • field's subclass of is recorded as vector space[8].
  • field's subclass of is recorded as bialgebra[9].
  • field's subclass of is recorded as commutative ring[10].
  • field's subclass of is recorded as field[11].
  • field's BNCF Thesaurus ID is recorded as 18363[12].
  • field's Freebase ID is recorded as /m/02w23[13].
  • field's NL CR AUT ID is recorded as ph118346[14].
  • field's topic's main category is recorded as Q17253046[15].
  • field's OmegaWiki Defined Meaning is recorded as 1407739[16].
  • field's Gran Enciclopèdia Catalana ID is recorded as 0166175[17].
  • field's Encyclopædia Britannica Online ID is recorded as topic/field-mathematics[18].
  • field's different from is recorded as field[19].
  • field's different from is recorded as body[20].
  • field's studied by is recorded as field theory[21].
  • field's studied by is recorded as category theory[22].
  • field's studied by is recorded as abstract algebra[23].
  • field's BabelNet ID is recorded as 00034269n[24].
  • field's has part is recorded as abelian group[25].
  • field's has part is recorded as element of a field[26].

Why It Matters

field ranks in the top 1% of general entities by monthly Wikipedia readership (1,011 views/month).[1] field has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[27] field is known by 26 alternative names across languages and contexts.[28]

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . Hopf Algebras. wikidata.org.
  9. [10] . Algebras, rings and modules. wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . BabelNet. wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). field. Retrieved April 10, 2026, from https://4ort.xyz/entity/field
MLA “field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/field.
BibTeX @misc{4ortxyz_field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{field}}, year = {2026}, url = {https://4ort.xyz/entity/field}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): field — https://4ort.xyz/entity/field (retrieved 2026-04-10)

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