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semigroup

algebraic structure with an associative binary operation
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semigroup

Summary

semigroup ranks in the top 2% of general entities by monthly Wikipedia readership (608 views/month).[1]

Key Facts

  • semigroup is a type of flexible magma[2].
  • semigroup is a type of semigroupoid[3].
  • semigroup is a type of partial semigroup[4].
  • semigroup comprises set[5].
  • semigroup comprises binary operation[6].
  • semigroup's described by source is recorded as Armenian Soviet Encyclopedia, vol. 5[7].
  • semigroup's Stack Exchange tag is recorded as https://stackoverflow.com/tags/semigroup[8].
  • semigroup's has characteristic is recorded as associativity[9].
  • semigroup's has characteristic is recorded as closure[10].
  • semigroup's studied by is recorded as semigroup theory[11].
  • semigroup's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

Recorded subclass of include flexible magma[2], semigroupoid[3], and partial semigroup[4].

Use and Application

Components include set[5], a primitive notion[13] and binary operation[6].

Why It Matters

semigroup ranks in the top 2% of general entities by monthly Wikipedia readership (608 views/month).[1] semigroup has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[14] semigroup is known by 21 alternative names across languages and contexts.[15]

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.

Inline context (facts about related entities)

  1. [13] ↑ . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . 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). semigroup. Retrieved April 10, 2026, from https://4ort.xyz/entity/semigroup
MLA “semigroup.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/semigroup.
BibTeX @misc{4ortxyz_semigroup_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{semigroup}}, year = {2026}, url = {https://4ort.xyz/entity/semigroup}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): semigroup — https://4ort.xyz/entity/semigroup (retrieved 2026-04-10)

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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. 5w ago · Twofivesixbot bot · 2026-05-24 view diff on Wikidata ↗
    Studied by → semigroup theory
    Maintained by wikiproject → WikiProject Mathematics
    Subclass of → —
    Has parts → —
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007531627705171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.