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monoid

algebraic structure with an associative operation and an identity element
Thing general Q208237
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monoid

Summary

monoid ranks in the top 2% of general entities by monthly Wikipedia readership (5,903 views/month).[1]

Key Facts

  • monoid is a type of semigroup[2].
  • monoid is a type of small category[3].
  • monoid is a type of monoid object[4].
  • monoid is a type of unital magma[5].
  • monoid's Commons category is recorded as Monoids[6].
  • monoid's has characteristic is recorded as identity element[7].
  • monoid's has characteristic is recorded as associativity[8].
  • monoid's has characteristic is recorded as closure[9].
  • monoid's studied by is recorded as category theory[10].
  • monoid's exact match is recorded as http://www.farzanegi.org/math/monoid[11].
  • monoid's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

Recorded subclass of include semigroup[2], small category[3], monoid object[4], and unital magma[5].

Why It Matters

monoid ranks in the top 2% of general entities by monthly Wikipedia readership (5,903 views/month).[1] monoid has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[13] monoid is known by 38 alternative names across languages and contexts.[14]

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.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] ↑ . Wikidata sitelinks. wikidata.org.
  3. [14] ↑ . 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). monoid. Retrieved October 2, 2026, from https://4ort.xyz/entity/monoid
MLA “monoid.” 4ort.xyz Knowledge Graph, 4ort.xyz, 2 Oct. 2026, https://4ort.xyz/entity/monoid.
BibTeX @misc{4ortxyz_monoid_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{monoid}}, year = {2026}, url = {https://4ort.xyz/entity/monoid}, note = {Accessed: 2026-10-02}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): monoid — https://4ort.xyz/entity/monoid (retrieved 2026-10-02)

Canonical URL: https://4ort.xyz/entity/monoid · 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. 10d ago · عُثمان · 2026-09-23 view diff on Wikidata ↗
    Aliases → —
    Studied by → category theory
    Maintained by wikiproject → WikiProject Mathematics
    Subclass of → semigroup, small category, monoid object +1
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ [[Property:P2888]]: http://www.farzanegi.org/math/monoid, Moving from [[Q2785361]]"
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