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perfect field

a field that is either of characteristic 0, or of positive characteristic p such that every element admits a p-th root
Thing general Q2997817
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perfect field

Summary

perfect field ranks in the top 2% of general entities by monthly Wikipedia readership (69 views/month).[1]

Key Facts

  • perfect field's subclass of is recorded as field[2].
  • perfect field's Freebase ID is recorded as /m/0b6j31l[3].
  • perfect field's defining formula is recorded as K = {a^{\max{1,\operatorname{char}K}} \colon a\in K}[4].
  • perfect field's studied by is recorded as field theory[5].
  • perfect field's MathWorld ID is recorded as PerfectField[6].
  • perfect field's nLab ID is recorded as perfect field[7].
  • perfect field's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • perfect field's Microsoft Academic ID is recorded as 133975322[9].
  • perfect field's ProofWiki ID is recorded as Definition:Perfect_Field[10].
  • perfect field's Encyclopedia of Mathematics article ID is recorded as Perfect_field[11].
  • perfect field's PlanetMath ID is recorded as PerfectField[12].
  • perfect field's OpenAlex ID is recorded as C133975322[13].

Why It Matters

perfect field ranks in the top 2% of general entities by monthly Wikipedia readership (69 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[14]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . Freebase Data Dumps. wikidata.org.
  3. [4] ↑ . 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] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. 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). perfect field. Retrieved April 10, 2026, from https://4ort.xyz/entity/perfect-field
MLA “perfect field.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/perfect-field.
BibTeX @misc{4ortxyz_perfect-field_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{perfect field}}, year = {2026}, url = {https://4ort.xyz/entity/perfect-field}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): perfect field — https://4ort.xyz/entity/perfect-field (retrieved 2026-04-10)

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