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injective object

object 𝑋 in an abelian category such that hom(–,𝑋) is an exact functor to the opposite category of the category of abelian groups
Thing general Q1625040
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injective object

Summary

injective object has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • injective object is a type of object of a category[2].
  • injective object is the opposite of projective object[3].
  • injective object's studied by is recorded as homological algebra[4].

Body

Definition and Type

injective object is a type of object of a category[2]. It is the opposite of projective object[3].

Why It Matters

injective object has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[1] It is known by 4 alternative names across languages and contexts.[5]

References

Programmatic citations β€” 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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [5] ↑ . Wikidata aliases. wikidata.org.

πŸ“‘ 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 object. Retrieved April 10, 2026, from https://4ort.xyz/entity/injective-object
MLA “injective object.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/injective-object.
BibTeX @misc{4ortxyz_injective-object_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{injective object}}, year = {2026}, url = {https://4ort.xyz/entity/injective-object}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): injective object — https://4ort.xyz/entity/injective-object (retrieved 2026-04-10)

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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 β€” follow the history link to see the precise diff for any edit.

  1. 13d ago Β· HTinC23 Β· 2026-06-22 view diff on Wikidata β†—
    Aliases β†’ β€”
    Subclass of β†’ β€”
    P14540 β†’ Q2112502
    Subclass of β†’ object of a category
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbeditentity-statements-multiple-properties-update:0||2 */ Moving [[Property:P461]] to [[Property:P14540]]"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.