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regular sequence

in commutative algebra, a sequence of elements of a commutative ring that is “as independent as possible” in a precise sense; the algebraic analogue of the geometric notion of a complete intersection
Thing general Q7309617
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regular sequence

Summary

regular sequence ranks in the top 2% of general entities by monthly Wikipedia readership (39 views/month).[1]

Key Facts

  • regular sequence's subclass of is recorded as sequence[2].
  • regular sequence's Freebase ID is recorded as /m/02jgd3[3].
  • regular sequence's defining formula is recorded as \forall m\in M \colon a_{n+1}m \in (a_1,a_2,\dotsc,a_n)M \implies m \in (a_1,a_2,\dotsc,a_n)M[4].
  • regular sequence's MathWorld ID is recorded as RingRegularSequence[5].
  • regular sequence's nLab ID is recorded as regular sequence[6].
  • regular sequence's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • regular sequence's Microsoft Academic ID is recorded as 2778877077[8].
  • regular sequence's ScienceDirect topic ID is recorded as mathematics/regular-sequence[9].

Why It Matters

regular sequence ranks in the top 2% of general entities by monthly Wikipedia readership (39 views/month).[1] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[10]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] ↑ . 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). regular sequence. Retrieved April 10, 2026, from https://4ort.xyz/entity/regular-sequence
MLA “regular sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/regular-sequence.
BibTeX @misc{4ortxyz_regular-sequence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{regular sequence}}, year = {2026}, url = {https://4ort.xyz/entity/regular-sequence}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): regular sequence — https://4ort.xyz/entity/regular-sequence (retrieved 2026-04-10)

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