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projective object

object 𝑃 in an abelian category such that hom(𝑃,–) is an exact functor to the category of abelian groups
Thing general Q2112502
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projective object

Summary

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

Key Facts

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

Body

Definition and Type

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

Why It Matters

projective object has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[1] It is known by 6 alternative names across languages and contexts.[6]

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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [6] ↑ . 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). projective object. Retrieved October 2, 2026, from https://4ort.xyz/entity/projective-object
MLA “projective object.” 4ort.xyz Knowledge Graph, 4ort.xyz, 2 Oct. 2026, https://4ort.xyz/entity/projective-object.
BibTeX @misc{4ortxyz_projective-object_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{projective object}}, year = {2026}, url = {https://4ort.xyz/entity/projective-object}, note = {Accessed: 2026-10-02}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): projective object — https://4ort.xyz/entity/projective-object (retrieved 2026-10-02)

Canonical URL: https://4ort.xyz/entity/projective-object · 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. 14w ago · HTinC23 · 2026-06-22 view diff on Wikidata ↗
    Aliases → —
    Subclass of → —
    P14540 → Q1625040
    Maintained by wikiproject → WikiProject Mathematics
    + 2 other properties 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.