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injective module

module that makes certain exact sequences split
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injective module

Summary

injective module has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • injective module is a type of module[2].
  • injective module is a type of injective object[3].
  • injective module is the opposite of projective module[4].
  • injective module's studied by is recorded as module theory[5].
  • injective module's studied by is recorded as homological algebra[6].
  • injective module's maintained by WikiProject is recorded as WikiProject Mathematics[7].

Body

Definition and Type

Recorded subclass of include module[2] and injective object[3]. injective module is the opposite of projective module[4].

Why It Matters

injective module has Wikipedia articles in 11 language editions, a strong signal of global cultural recognition.[1] It is known by 5 alternative names across languages and contexts.[8]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [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). injective module. Retrieved April 11, 2026, from https://4ort.xyz/entity/injective-module
MLA “injective module.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/injective-module.
BibTeX @misc{4ortxyz_injective-module_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{injective module}}, year = {2026}, url = {https://4ort.xyz/entity/injective-module}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): injective module — https://4ort.xyz/entity/injective-module (retrieved 2026-04-11)

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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. 12d ago · HTinC23 · 2026-06-23 view diff on Wikidata ↗
    P14540 → Q942423
    Opposite of → projective module
    "/* wbeditentity-statements-multiple-properties-update:0||2 */ Moving [[Property:P461]] to [[Property:P14540]]"
  2. 5w ago · Twofivesixbot bot · 2026-05-28 view diff on Wikidata ↗
    Subclass of → module, injective object
    Studied by → module theory, homological algebra
    Opposite of → projective module
    Subclass of → —
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|2 */ [[Property:P8189]]: 987007550705305171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.