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 ranks in the top 7% of mathematical_concept entities by monthly Wikipedia readership (496 views/month).[2]

Key Facts

  • homomorphism's instance of is recorded as mathematical concept[3].
  • homomorphism's GND ID is recorded as 4160602-4[4].
  • homomorphism's Library of Congress authority ID is recorded as sh85061771[5].
  • homomorphism's subclass of is recorded as function[6].
  • homomorphism's said to be the same as is recorded as Q12766997[7].
  • homomorphism's Freebase ID is recorded as /m/03jd7[8].
  • homomorphism's NL CR AUT ID is recorded as ph714665[9].
  • homomorphism's PSH ID is recorded as 7362[10].
  • homomorphism's OmegaWiki Defined Meaning is recorded as 956230[11].
  • homomorphism's described by source is recorded as Armenian Soviet Encyclopedia, vol. 6[12].
  • homomorphism's Encyclopædia Britannica Online ID is recorded as topic/homomorphism[13].
  • homomorphism's different from is recorded as morphism[14].
  • homomorphism's defining formula is recorded as \begin{aligned}\phi(f_A(a_1,a_2,\dots,a_n))=f_B(\phi(a_1),\phi(a_2),\dots,\phi(a_n))\r_A(a_1,a_2,\dots,a_n)\implies r_B(\phi(a_1),\phi(a_2),\dots,\phi(a_n))\end{aligned}[15].
  • homomorphism's studied by is recorded as abstract algebra[16].
  • homomorphism's studied by is recorded as model theory[17].
  • homomorphism's studied by is recorded as universal algebra[18].
  • homomorphism's BabelNet ID is recorded as 00044596n[19].
  • homomorphism's MathWorld ID is recorded as Homomorphism[20].
  • homomorphism's Treccani ID is recorded as omomorfismo[21].
  • homomorphism's JSTOR topic ID is recorded as homomorphisms[22].
  • homomorphism's nLab ID is recorded as homomorphism[23].
  • homomorphism's Larousse ID is recorded as divers/homomorphisme/58605[24].
  • homomorphism's maintained by WikiProject is recorded as WikiProject Mathematics[25].
  • homomorphism's Microsoft Academic ID is recorded as 4042151[26].
  • homomorphism's Brilliant Wiki ID is recorded as homomorphism[27].

Why It Matters

homomorphism ranks in the top 7% of mathematical_concept entities by monthly Wikipedia readership (496 views/month).[2] homomorphism has Wikipedia articles in 25 language editions, a strong signal of global cultural recognition.[28] homomorphism is known by 18 alternative names across languages and contexts.[29]

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] . Integrated Authority File. 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.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . BabelNet. wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . wikidata.org.
  24. [26] . wikidata.org.
  25. [27] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [28] . Wikidata sitelinks. wikidata.org.
  3. [29] . 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)

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