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semilattice

idempotent commutative semigroup
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semilattice

Summary

semilattice has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • semilattice is a type of normal band[2].
  • semilattice is a type of commutative semigroup[3].
  • semilattice is a type of semimodule[4].
  • semilattice's said to be the same as is recorded as upper semilattice[5].
  • semilattice's said to be the same as is recorded as lower semilattice[6].
  • semilattice's has characteristic is recorded as idempotence[7].
  • semilattice's has characteristic is recorded as commutative property[8].
  • semilattice's has characteristic is recorded as associativity[9].
  • semilattice's studied by is recorded as lattice theory[10].

Body

Definition and Type

Recorded subclass of include normal band[2], commutative semigroup[3], and semimodule[4].

Why It Matters

semilattice has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[1] semilattice is known by 7 alternative names across languages and contexts.[11]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [11] ↑ . 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). semilattice. Retrieved April 10, 2026, from https://4ort.xyz/entity/semilattice
MLA “semilattice.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/semilattice.
BibTeX @misc{4ortxyz_semilattice_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{semilattice}}, year = {2026}, url = {https://4ort.xyz/entity/semilattice}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): semilattice — https://4ort.xyz/entity/semilattice (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. 6d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Said to be the same as → upper semilattice, lower semilattice
    Subclass of → —
    Aliases → —
    Subclass of → normal band, commutative semigroup, semimodule
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007531627305171, mv to monolingual text names on J9U statements"
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