algebraic extension

field extension via adjoining solutions to polynomials with coefficients in the subfield
Thing general Q550791
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algebraic extension

Summary

algebraic extension ranks in the top 2% of general entities by monthly Wikipedia readership (52 views/month).[1]

Key Facts

  • algebraic extension's subclass of is recorded as field extension[2].
  • algebraic extension's opposite of is recorded as transcendental extension[3].
  • algebraic extension's Freebase ID is recorded as /m/0w_3[4].
  • algebraic extension's different from is recorded as integral extension[5].
  • algebraic extension's defining formula is recorded as \left{y\in N\Big|p(y)\right}[6].
  • algebraic extension's MathWorld ID is recorded as AlgebraicExtension[7].
  • algebraic extension's nLab ID is recorded as algebraic extension[8].
  • algebraic extension's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • algebraic extension's Microsoft Academic ID is recorded as 89290136[10].
  • algebraic extension's OpenAlex ID is recorded as C89290136[11].
  • algebraic extension's Metamath statement ID is recorded as df-algext[12].

Why It Matters

algebraic extension ranks in the top 2% of general entities by monthly Wikipedia readership (52 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[13] It is known by 13 alternative names across languages and contexts.[14]

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] . Freebase Data Dumps. wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  11. [12] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . 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). algebraic extension. Retrieved April 10, 2026, from https://4ort.xyz/entity/algebraic-extension
MLA “algebraic extension.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/algebraic-extension.
BibTeX @misc{4ortxyz_algebraic-extension_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{algebraic extension}}, year = {2026}, url = {https://4ort.xyz/entity/algebraic-extension}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): algebraic extension — https://4ort.xyz/entity/algebraic-extension (retrieved 2026-04-10)

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