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homomorphism

structure-preserving map between two (algebraic, relational or mixed) structures of the same signature
Intangible mathematical_concept Q215111
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homomorphism

Summary

homomorphism is a mathematical concept[1]. homomorphism has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • homomorphism's instance of is recorded as mathematical concept[3].
  • homomorphism is a type of function[4].
  • homomorphism's said to be the same as is recorded as Q12766997[5].
  • homomorphism's described by source is recorded as Armenian Soviet Encyclopedia, vol. 6[6].
  • homomorphism's different from is recorded as morphism[7].
  • homomorphism's studied by is recorded as abstract algebra[8].
  • homomorphism's studied by is recorded as model theory[9].
  • homomorphism's studied by is recorded as universal algebra[10].
  • homomorphism's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Body

Definition and Type

homomorphism's instance of is recorded as mathematical concept[3]. homomorphism is a type of function[4].

Why It Matters

homomorphism has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[2] homomorphism is known by 18 alternative names across languages and contexts.[12]

Related Entities

Robert Šámal

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikidata sitelinks. wikidata.org.
  2. [12] ↑ . 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). homomorphism. Retrieved May 3, 2026, from https://4ort.xyz/entity/homomorphism
MLA “homomorphism.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/homomorphism.
BibTeX @misc{4ortxyz_homomorphism_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{homomorphism}}, year = {2026}, url = {https://4ort.xyz/entity/homomorphism}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): homomorphism — https://4ort.xyz/entity/homomorphism (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/homomorphism · 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. 19d ago · Breogan2008 · 2026-06-16 view diff on Wikidata ↗
    Enciclopedia galega universal id → 135733
    "/* wbsetclaim-create:2||1 */ [[Property:P13613]]: 135733"
  2. 5w ago · Twofivesixbot bot · 2026-05-25 view diff on Wikidata ↗
    Different from → morphism
    Subclass of → function
    Studied by → abstract algebra, model theory, universal algebra
    Said to be the same as → Q12766997
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007565420605171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.