field extension

pair of a mathematical field and its subfield
Thing general Q577835
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field extension

Summary

field extension ranks in the top 2% of general entities by monthly Wikipedia readership (192 views/month).[1]

Key Facts

  • field extension's subclass of is recorded as ring homomorphism[2].
  • field extension's subclass of is recorded as injection[3].
  • field extension's subclass of is recorded as field[4].
  • field extension's subclass of is recorded as vector space[5].
  • field extension's opposite of is recorded as subfield[6].
  • field extension's Freebase ID is recorded as /m/032nd[7].
  • field extension's topic's main category is recorded as Category:Field extensions[8].
  • field extension's different from is recorded as algebra extension[9].
  • field extension's different from is recorded as subfield[10].
  • field extension's MathWorld ID is recorded as ExtensionField[11].
  • field extension's MathWorld ID is recorded as FieldExtension[12].
  • field extension's nLab ID is recorded as field extension[13].
  • field extension's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • field extension's Microsoft Academic ID is recorded as 103738662[15].
  • field extension's OpenAlex ID is recorded as C103738662[16].
  • field extension's OpenAlex ID is recorded as C2780580338[17].
  • field extension's Metamath statement ID is recorded as df-fldext[18].

Why It Matters

field extension ranks in the top 2% of general entities by monthly Wikipedia readership (192 views/month).[1] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[19] It is known by 8 alternative names across languages and contexts.[20]

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] ↑ . Algebras, rings and modules. wikidata.org.
  4. [5] ↑ . Algebras, rings and modules. wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . 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] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  16. [17] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [18] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . 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). field extension. Retrieved October 2, 2026, from https://4ort.xyz/entity/field-extension
MLA “field extension.” 4ort.xyz Knowledge Graph, 4ort.xyz, 2 Oct. 2026, https://4ort.xyz/entity/field-extension.
BibTeX @misc{4ortxyz_field-extension_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{field extension}}, year = {2026}, url = {https://4ort.xyz/entity/field-extension}, note = {Accessed: 2026-10-02}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): field extension — https://4ort.xyz/entity/field-extension (retrieved 2026-10-02)

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