noetherian ring

ring whose ideals satisfy the ascending chain condition
Thing general Q582271
Press Enter · cited answer in seconds

noetherian ring

Summary

noetherian ring ranks in the top 2% of general entities by monthly Wikipedia readership (185 views/month).[1]

Key Facts

  • Emmy Noether is named after noetherian ring[2].
  • noetherian ring's subclass of is recorded as coherent ring[3].
  • noetherian ring's subclass of is recorded as Noetherian module[4].
  • noetherian ring's Freebase ID is recorded as /m/0fk5n[5].
  • noetherian ring's has characteristic is recorded as ascending chain condition[6].
  • noetherian ring's defining formula is recorded as I_1\subseteq\cdots \subseteq I_{k-1}\subseteq I_{k}\subseteq I_{k+1}\subseteq\cdots \Rightarrow \exists k. \forall k' \ge k. I_k = I_{k'}[7].
  • noetherian ring's MathWorld ID is recorded as NoetherianRing[8].
  • noetherian ring's Open Library subject ID is recorded as noetherian_rings[9].
  • noetherian ring's nLab ID is recorded as noetherian ring[10].
  • noetherian ring's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • noetherian ring's Microsoft Academic ID is recorded as 2777726979[12].
  • noetherian ring's in defining formula is recorded as I_i[13].
  • noetherian ring's Encyclopedia of Mathematics article ID is recorded as Noetherian_ring[14].
  • noetherian ring's PlanetMath ID is recorded as NoetherianRing[15].
  • noetherian ring's Treccani's Enciclopedia della Matematica ID is recorded as anello-noetheriano[16].
  • noetherian ring's OpenAlex ID is recorded as C2777726979[17].
  • noetherian ring's ScienceDirect topic ID is recorded as mathematics/noetherian-ring[18].
  • noetherian ring's Metamath statement ID is recorded as df-lnr[19].

Why It Matters

noetherian ring ranks in the top 2% of general entities by monthly Wikipedia readership (185 views/month).[1] It has Wikipedia articles in 20 language editions, a strong signal of global cultural recognition.[20]

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] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . 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). noetherian ring. Retrieved April 10, 2026, from https://4ort.xyz/entity/noetherian-ring
MLA “noetherian ring.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/noetherian-ring.
BibTeX @misc{4ortxyz_noetherian-ring_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{noetherian ring}}, year = {2026}, url = {https://4ort.xyz/entity/noetherian-ring}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): noetherian ring — https://4ort.xyz/entity/noetherian-ring (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/noetherian-ring · Last refreshed: