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irreducible element

non-zero non-unit element in an integral domain that is not a product of two non-units
Thing general Q2989575
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irreducible element

Summary

irreducible element has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • irreducible element is a type of element[2].
  • irreducible element is a type of non-unit[3].
  • irreducible element is part of primality in a ring[4].
  • irreducible element's different from is recorded as prime element[5].
  • irreducible element's maintained by WikiProject is recorded as WikiProject Mathematics[6].

Body

Definition and Type

Recorded subclass of include element[2] and non-unit[3].

Use and Application

irreducible element is part of primality in a ring[4].

Why It Matters

irreducible element has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[1] It is known by 7 alternative names across languages and contexts.[7]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [7] ↑ . 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). irreducible element. Retrieved April 10, 2026, from https://4ort.xyz/entity/irreducible-element
MLA “irreducible element.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/irreducible-element.
BibTeX @misc{4ortxyz_irreducible-element_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{irreducible element}}, year = {2026}, url = {https://4ort.xyz/entity/irreducible-element}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): irreducible element — https://4ort.xyz/entity/irreducible-element (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/irreducible-element · Last refreshed:

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. 11d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Aliases → —
    Subclass of → —
    Part of → —
    Different from → prime element
    + 4 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: Irreducible, #quickstatements; #temporary_batch_1783013068346"
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