module

generalization of vector space, with scalars in a ring instead of a field
Thing general Q18848
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module

Summary

module ranks in the top 2% of general entities by monthly Wikipedia readership (1,320 views/month).[1]

Key Facts

  • module is a type of algebraic structure[2].
  • module is the opposite of comodule[3].
  • module comprises abelian group[4].
  • module's has characteristic is recorded as base ring[5].
  • module's has characteristic is recorded as length[6].
  • module's has characteristic is recorded as radical of a module[7].
  • module's different from is recorded as absolute value[8].
  • module's studied by is recorded as commutative algebra[9].
  • module's studied by is recorded as ring theory[10].
  • module's studied by is recorded as module theory[11].
  • module's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[12].
  • module's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • module's underlying structure is recorded as abelian group[14].

Body

Definition and Type

module is a type of algebraic structure[2]. module is the opposite of comodule[3].

Use and Application

module comprises abelian group[4].

Why It Matters

module ranks in the top 2% of general entities by monthly Wikipedia readership (1,320 views/month).[1] module has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[15] module is known by 33 alternative names across languages and contexts.[16]

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.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . 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). module. Retrieved October 4, 2026, from https://4ort.xyz/entity/module
MLA “module.” 4ort.xyz Knowledge Graph, 4ort.xyz, 4 Oct. 2026, https://4ort.xyz/entity/module.
BibTeX @misc{4ortxyz_module_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{module}}, year = {2026}, url = {https://4ort.xyz/entity/module}, note = {Accessed: 2026-10-04}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): module — https://4ort.xyz/entity/module (retrieved 2026-10-04)

Canonical URL: https://4ort.xyz/entity/module · 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. 19w ago · Twofivesixbot bot · 2026-05-18 view diff on Wikidata ↗
    Has parts → —
    Opposite of → comodule
    Has part(s) → abelian group
    Subclass of → algebraic structure
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|7 */ [[Property:P2347]]: 38369, mv to monolingual text names on YSO statements"
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