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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 has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • identity element is a type of element[2].
  • identity element is the opposite of absorbing element[3].
  • 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[4].
  • identity element's described at URL is recorded as https://www.andreaminini.org/matematica/gruppi/elemento-neutro-di-un-gruppo[5].
  • 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[6].
  • identity element's described at URL is recorded as https://taylorandfrancis.com/knowledge/Engineering_and_technology/Engineering_support_and_special_topics/Identity_element/[7].
  • identity element's used by is recorded as rewriting[8].
  • identity element's main Wikidata property is recorded as P8864[9].
  • identity element's different from is recorded as multiplicative identity[10].
  • identity element's different from is recorded as additive identity[11].
  • identity element's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Definition and Type

identity element is a type of element[2]. It is the opposite of absorbing element[3].

Use and Application

identity element's used by is recorded as rewriting[8].

Why It Matters

identity element has Wikipedia articles in 27 language editions, a strong signal of global cultural recognition.[1] It is known by 67 alternative names across languages and contexts.[13]

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.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [13] ↑ . 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)

Canonical URL: https://4ort.xyz/entity/identity-element · 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. 4w ago · YoshiRulz · 2026-07-16 view diff on Wikidata ↗
    Main wikidata property → P8864
    Different from → multiplicative identity, additive identity
    Subclass of → —
    Maintained by wikiproject → WikiProject Mathematics
    + 5 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:2||1 */ [[Property:P1889]]: [[Q609647]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.