identity element

special type of element of a set with respect to a binary operation on that set, which leaves other elements unchanged when combined with them
Thing general Q185813
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identity element

Summary

identity element ranks in the top 2% of general entities by monthly Wikipedia readership (67 views/month).[1]

Key Facts

  • identity element's subclass of is recorded as element[2].
  • identity element's opposite of is recorded as absorbing element[3].
  • identity element's Freebase ID is recorded as /m/03vx9[4].
  • identity element's described at URL is recorded as https://math.libretexts.org/Bookshelves/PreAlgebra/Prealgebra_1e_(OpenStax)/07%3A_The_Properties_of_Real_Numbers/7.05%3A_Properties_of_Identity_Inverses_and_Zero[5].
  • identity element's described at URL is recorded as https://www.andreaminini.org/matematica/gruppi/elemento-neutro-di-un-gruppo[6].
  • identity element's described at URL is recorded as https://sms.math.nus.edu.sg/smsmedley/Vol-06-2/A%20note%20on%20identity%20elements(Ho%20Soo%20Thong%20and%20Tay%20Yong%20Chiang).pdf[7].
  • identity element's described at URL is recorded as https://taylorandfrancis.com/knowledge/Engineering_and_technology/Engineering_support_and_special_topics/Identity_element/[8].
  • identity element's Encyclopædia Britannica Online ID is recorded as science/identity-element[9].
  • identity element's used by is recorded as rewriting[10].
  • identity element's main Wikidata property is recorded as P8864[11].
  • identity element's different from is recorded as multiplicative identity[12].
  • identity element's different from is recorded as additive identity[13].
  • identity element's defining formula is recorded as \forall a\in A\colon\, ea=a,\, ae=a[14].
  • identity element's MathWorld ID is recorded as IdentityElement[15].
  • identity element's NE.se ID is recorded as identitetselement[16].
  • identity element's Treccani ID is recorded as elemento-neutro[17].
  • identity element's nLab ID is recorded as identity element[18].
  • identity element's maintained by WikiProject is recorded as WikiProject Mathematics[19].
  • identity element's Microsoft Academic ID is recorded as 68853498[20].
  • identity element's Brilliant Wiki ID is recorded as identity-element[21].
  • identity element's in defining formula is recorded as A[22].
  • identity element's in defining formula is recorded as e[23].
  • identity element's in defining formula is recorded as a[24].
  • identity element's in defining formula is recorded as *[25].
  • identity element's Online PWN Encyclopedia ID is recorded as 3946919[26].

Why It Matters

identity element ranks in the top 2% of general entities by monthly Wikipedia readership (67 views/month).[1] It has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[27] It is known by 67 alternative names across languages and contexts.[28]

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] . Freebase Data Dumps. 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.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.
  24. [25] . wikidata.org.
  25. [26] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). identity element. Retrieved April 10, 2026, from https://4ort.xyz/entity/identity-element
MLA “identity element.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/identity-element.
BibTeX @misc{4ortxyz_identity-element_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{identity element}}, year = {2026}, url = {https://4ort.xyz/entity/identity-element}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): identity element — https://4ort.xyz/entity/identity-element (retrieved 2026-04-10)

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