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ring

algebraic structure that has compatible structures of an abelian group and a monoid, in particular having multiplicative identity
Thing general Q161172
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Summary

ring ranks in the top 2% of general entities by monthly Wikipedia readership (5,389 views/month).[1]

Key Facts

  • Subclass of: nonassociative ring[2], semiring[3], rng[4]
  • Has part(s): additive identity[5], multiplicative identity[6]
  • Topic's main category: Category:Rings (mathematics)[7]
  • Described by source: Great Soviet Encyclopedia (1926–1947)[8]
  • Different from: rng[9], nonassociative ring[10]
  • Studied by: ring theory[11]
  • On focus list of Wikimedia project: Wikipedia:Vital articles/Level/4[12]
  • Maintained by WikiProject: WikiProject Mathematics[13]
  • Underlying structure(s): abelian group[14], monoid[15], non-empty set[16]

Why It Matters

ring has Wikipedia articles in 29 language editions, a strong signal of global cultural recognition.[17] ring is known by 43 alternative names across languages and contexts.[18]

Related Entities

Emil Artin

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] ↑ . 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] ↑ . Algebras, rings and modules. wikidata.org.
  14. [15] ↑ . wikidata.org.
  15. [16] ↑ . Algebras, rings and modules. wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] ↑ . Wikidata sitelinks. wikidata.org.
  3. [18] ↑ . 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. Retrieved October 15, 2026, from https://4ort.xyz/entity/ring-q161172
MLA “ring.” 4ort.xyz Knowledge Graph, 4ort.xyz, 15 Oct. 2026, https://4ort.xyz/entity/ring-q161172.
BibTeX @misc{4ortxyz_ring-q161172_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{ring}}, year = {2026}, url = {https://4ort.xyz/entity/ring-q161172}, note = {Accessed: 2026-10-15}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): ring — https://4ort.xyz/entity/ring-q161172 (retrieved 2026-10-15)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 15w ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    P14534 → Ring
    "/* wbcreateclaim-create:1| */ P14534: Ring, #quickstatements; #temporary_batch_1783013068346"
  2. 18w ago · Jindřich Rubeš · 2026-06-12 view diff on Wikidata ↗
    Maintained by wikiproject → WikiProject Mathematics
    Svkkl authority id → h0008003-okruhy-algebra
    Aliases → —
    Has parts → —
    + 9 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ Svkkl authority id: h0008003-okruhy-algebra, [[:toollabs:quickstatements/#/batch/259493|batch #259493]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.