Home › Entities › theorem › Jacobi identity

Jacobi identity

Property of some binary operations, such as the cross product and any ring's commutator
Intangible theorem Q1151539
Press Enter · cited answer in seconds

Jacobi identity

Summary

Jacobi identity is a theorem[1]. It draws 881 Wikipedia views per month (theorem category, ranking #145 of 1,306).[2]

Key Facts

  • Jacobi identity's instance of is recorded as theorem[3].
  • Carl Gustav Jacob Jacobi is named after Jacobi identity[4].
  • Jacobi identity's studied by is recorded as category theory[5].
  • Jacobi identity's maintained by WikiProject is recorded as WikiProject Mathematics[6].

Body

Definition and Type

Jacobi identity's instance of is recorded as theorem[3].

Origins

Carl Gustav Jacob Jacobi is named after Jacobi identity[4].

Why It Matters

Jacobi identity draws 881 Wikipedia views per month (theorem category, ranking #145 of 1,306).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[7] It is known by 4 alternative names across languages and contexts.[8]

Related Entities

Carl Gustav Jacob Jacobi

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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [7] ↑ . Wikidata sitelinks. wikidata.org.
  3. [8] ↑ . 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). Jacobi identity. Retrieved May 3, 2026, from https://4ort.xyz/entity/jacobi-identity
MLA “Jacobi identity.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/jacobi-identity.
BibTeX @misc{4ortxyz_jacobi-identity_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Jacobi identity}}, year = {2026}, url = {https://4ort.xyz/entity/jacobi-identity}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Jacobi identity — https://4ort.xyz/entity/jacobi-identity (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/jacobi-identity · 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. 7d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Instance of → theorem
    Aliases → —
    Maintained by wikiproject → WikiProject Mathematics
    Named after → Carl Gustav Jacob Jacobi
    + 3 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007534634305171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.