Home β€Ί Entities β€Ί general β€Ί projective object

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
Press Enter Β· cited answer in seconds

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 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.
  4. [5] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [6] ↑ . 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). projective object. Retrieved April 10, 2026, from https://4ort.xyz/entity/projective-object
MLA “projective object.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 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: 2026-04-10}}
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 2026-04-10)

Canonical URL: https://4ort.xyz/entity/projective-object Β· Last refreshed:

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. 12d ago Β· HTinC23 Β· 2026-06-22 view diff on Wikidata β†—
    Aliases β†’ β€”
    Subclass of β†’ β€”
    P14540 β†’ Q1625040
    Maintained by wikiproject β†’ 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.