Home › Entities › general › field

field

commutative ring in which every nonzero element is inversible
Thing general Q190109
Press Enter · cited answer in seconds

Summary

field ranks in the top 1% of general entities by monthly Wikipedia readership (7,151 views/month).[1]

Key Facts

  • Subclass of: partial algebra[2], Euclidean domain[3], simple ring[4], division ring[5], artinian ring[6], vector space[7], bialgebra[8], commutative ring[9], field[10]
  • Topic's main category: Q17253046[11]
  • Different from: field[12], body[13]
  • Studied by: field theory[14], category theory[15], abstract algebra[16]
  • Has part(s) of the class: abelian group[17], element of a field[18], ideal[19]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[20]
  • Maintained by WikiProject: WikiProject Mathematics[21]

Why It Matters

field has Wikipedia articles in 30 language editions, a strong signal of global cultural recognition.[22] field is known by 52 alternative names across languages and contexts.[23]

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] ↑ . Hopf Algebras. wikidata.org.
  8. [9] ↑ . Algebras, rings and modules. wikidata.org.
  9. [10] ↑ . 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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [22] ↑ . Wikidata sitelinks. wikidata.org.
  3. [23] ↑ . 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 October 14, 2026, from https://4ort.xyz/entity/field
MLA “field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 14 Oct. 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: 2026-10-14}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): field — https://4ort.xyz/entity/field (retrieved 2026-10-14)

Canonical URL: https://4ort.xyz/entity/field · Last refreshed:

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. 16w ago · MatSuBot bot · 2026-06-22 view diff on Wikidata ↗
    Topic's main category → Q17253046
    On focus list of wikimedia project → Wikipedia:Vital articles/Level/4
    Subclass of → partial algebra, Euclidean domain, simple ring +6
    Aliases → —
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update-languages-short:0||jbo, my */ import labels from sitelinks"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.