localization of a ring

construction of a ring of fractions, in commutative algebra
Thing general Q289093
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localization of a ring

Summary

localization of a ring ranks in the top 2% of general entities by monthly Wikipedia readership (68 views/month).[1]

Key Facts

  • localization of a ring's subclass of is recorded as algebraic construction[2].
  • localization of a ring's Freebase ID is recorded as /m/01lf4q[3].
  • localization of a ring's different from is recorded as localization of a module[4].
  • localization of a ring's different from is recorded as quotient ring[5].
  • localization of a ring's defining formula is recorded as \begin{aligned}S^{-1}R&=(R\times S)/\sim\(r,s)\sim(r',s')&\iff\exists t\in S\colon t(rs'-r's)=0\(r,s)+(r',s')&=(rs'+r's,ss')\(r,s)(r',s')&=(rr',ss')\end{aligned}[6].
  • localization of a ring's MathWorld ID is recorded as Localization[7].
  • localization of a ring's nLab ID is recorded as localization of a ring[8].
  • localization of a ring's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • localization of a ring's Microsoft Academic ID is recorded as 131291618[10].
  • localization of a ring's in defining formula is recorded as R[11].
  • localization of a ring's in defining formula is recorded as S[12].
  • localization of a ring's in defining formula is recorded as \sim[13].
  • localization of a ring's in defining formula is recorded as S^{-1}R[14].
  • localization of a ring's Treccani's Enciclopedia della Matematica ID is recorded as localizzazione[15].

Why It Matters

localization of a ring ranks in the top 2% of general entities by monthly Wikipedia readership (68 views/month).[1] It has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[16] It is known by 9 alternative names across languages and contexts.[17]

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] . 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.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. wikidata.org.
  3. [17] . 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). localization of a ring. Retrieved April 10, 2026, from https://4ort.xyz/entity/localization-of-a-ring
MLA “localization of a ring.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/localization-of-a-ring.
BibTeX @misc{4ortxyz_localization-of-a-ring_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{localization of a ring}}, year = {2026}, url = {https://4ort.xyz/entity/localization-of-a-ring}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): localization of a ring — https://4ort.xyz/entity/localization-of-a-ring (retrieved 2026-04-10)

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