unit

in mathematics, an invertible element or a unit in a ring R
Intangible mathematical_concept Q118084
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unit

Summary

unit is a mathematical concept[1]. unit draws 152 Wikipedia views per month (mathematical_concept category, ranking #163 of 1,007).[2]

Key Facts

  • unit's instance of is recorded as mathematical concept[3].
  • unit's subclass of is recorded as element[4].
  • unit's subclass of is recorded as invertible element[5].
  • unit's opposite of is recorded as non-unit[6].
  • unit's Freebase ID is recorded as /m/01qdzn[7].
  • unit's has characteristic is recorded as multiplicative inverse[8].
  • unit's different from is recorded as multiplicative identity[9].
  • unit's different from is recorded as invertible element[10].
  • unit's defining formula is recorded as u \in R, \exists v \in R: uv=vu=1_R[11].
  • unit's MathWorld ID is recorded as RingUnit[12].
  • unit's MathWorld ID is recorded as Unit[13].
  • unit's nLab ID is recorded as unit[14].
  • unit's maintained by WikiProject is recorded as WikiProject Mathematics[15].
  • unit's Microsoft Academic ID is recorded as 122637931[16].
  • unit's in defining formula is recorded as u[17].
  • unit's in defining formula is recorded as R[18].
  • unit's in defining formula is recorded as 1_R[19].
  • unit's Group Properties article ID is recorded as Invertible_element[20].
  • unit's OpenAlex ID is recorded as C122637931[21].
  • unit's Metamath statement ID is recorded as df-unit[22].
  • unit's LMFDB knowl ID is recorded as ring.unit[23].

Why It Matters

unit draws 152 Wikipedia views per month (mathematical_concept category, ranking #163 of 1,007).[2] unit has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[24] unit is known by 17 alternative names across languages and contexts.[25]

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] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . progettomatematica.dm.unibo.it. progettomatematica.dm.unibo.it. Provenance: 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] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [24] . Wikidata sitelinks. wikidata.org.
  3. [25] . 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). unit. Retrieved May 3, 2026, from https://4ort.xyz/entity/unit-q118084
MLA “unit.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/unit-q118084.
BibTeX @misc{4ortxyz_unit-q118084_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{unit}}, year = {2026}, url = {https://4ort.xyz/entity/unit-q118084}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): unit — https://4ort.xyz/entity/unit-q118084 (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/unit-q118084 · Last refreshed: