artinian ring

ring that satisfies the descending chain condition on ideals
Intangible mathematical_concept Q713084
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artinian ring

Summary

artinian ring is a mathematical concept[1]. It draws 68 Wikipedia views per month (mathematical_concept category, ranking #197 of 1,007).[2]

Key Facts

  • artinian ring's instance of is recorded as mathematical concept[3].
  • Emil Artin is named after artinian ring[4].
  • artinian ring's subclass of is recorded as noetherian ring[5].
  • artinian ring's subclass of is recorded as Artinian module[6].
  • artinian ring's Freebase ID is recorded as /m/02gmfk[7].
  • artinian ring's has characteristic is recorded as descending chain condition[8].
  • artinian ring's defining formula is recorded as I^{\oplus k} \to A, \, (y_1, \dots, y_k) \mapsto a_1y_1 + \cdots + a_k y_k[9].
  • artinian ring's MathWorld ID is recorded as ArtinianRing[10].
  • artinian ring's nLab ID is recorded as artinian ring[11].
  • artinian ring's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • artinian ring's Microsoft Academic ID is recorded as 149774684[13].
  • artinian ring's Encyclopedia of Mathematics article ID is recorded as Artinian_ring[14].
  • artinian ring's Treccani's Enciclopedia della Matematica ID is recorded as anello-artiniano[15].
  • artinian ring's OpenAlex ID is recorded as C149774684[16].

Why It Matters

artinian ring draws 68 Wikipedia views per month (mathematical_concept category, ranking #197 of 1,007).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[17]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . 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). artinian ring. Retrieved May 3, 2026, from https://4ort.xyz/entity/artinian-ring
MLA “artinian ring.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/artinian-ring.
BibTeX @misc{4ortxyz_artinian-ring_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{artinian ring}}, year = {2026}, url = {https://4ort.xyz/entity/artinian-ring}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): artinian ring — https://4ort.xyz/entity/artinian-ring (retrieved 2026-05-03)

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