ring of algebraic integers

algebraic construction
Thing general Q1358313
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ring of algebraic integers

Summary

ring of algebraic integers ranks in the top 2% of general entities by monthly Wikipedia readership (130 views/month).[1]

Key Facts

  • ring of algebraic integers's subclass of is recorded as Dedekind domain[2].
  • ring of algebraic integers's part of is recorded as algebraic number field[3].
  • ring of algebraic integers's has part is recorded as algebraic integer[4].
  • ring of algebraic integers's Freebase ID is recorded as /m/02c89q[5].
  • ring of algebraic integers's topic's main category is recorded as Q114716372[6].
  • ring of algebraic integers's different from is recorded as ring of rational integers[7].
  • ring of algebraic integers's defining formula is recorded as \mathcal O_K={a\in K\colon\exists p(x)\in\mathbb Z[x] \colon p \mbox{ is monic; }p(a)=0}[8].
  • ring of algebraic integers's studied by is recorded as algebraic number theory[9].
  • ring of algebraic integers's Google Knowledge Graph ID is recorded as /g/1q5j0d9q7[10].
  • ring of algebraic integers's MathWorld ID is recorded as RingofIntegers[11].
  • ring of algebraic integers's nLab ID is recorded as ring of integers[12].
  • ring of algebraic integers's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • ring of algebraic integers's Microsoft Academic ID is recorded as 164810661[14].
  • ring of algebraic integers's ProofWiki ID is recorded as Definition:Ring_of_Integers_of_Number_Field[15].
  • ring of algebraic integers's in defining formula is recorded as K[16].
  • ring of algebraic integers's in defining formula is recorded as \mathcal O_K[17].
  • ring of algebraic integers's in defining formula is recorded as p \text{ is monic; }[18].
  • ring of algebraic integers's OpenAlex ID is recorded as C164810661[19].

Why It Matters

ring of algebraic integers ranks in the top 2% of general entities by monthly Wikipedia readership (130 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[20] It is known by 10 alternative names across languages and contexts.[21]

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] . Freebase Data Dumps. 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] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). ring of algebraic integers. Retrieved April 10, 2026, from https://4ort.xyz/entity/ring-of-algebraic-integers
MLA “ring of algebraic integers.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/ring-of-algebraic-integers.
BibTeX @misc{4ortxyz_ring-of-algebraic-integers_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{ring of algebraic integers}}, year = {2026}, url = {https://4ort.xyz/entity/ring-of-algebraic-integers}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): ring of algebraic integers — https://4ort.xyz/entity/ring-of-algebraic-integers (retrieved 2026-04-10)

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