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 ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1]

Key Facts

  • projective object's subclass of is recorded as object of a category[2].
  • projective object's opposite of is recorded as injective object[3].
  • projective object's Freebase ID is recorded as /m/08ktgb[4].
  • projective object's studied by is recorded as homological algebra[5].
  • projective object's nLab ID is recorded as projective object[6].
  • projective object's schematic is recorded as Projective object.svg[7].
  • projective object's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • projective object's Microsoft Academic ID is recorded as 2777824161[9].
  • projective object's ProofWiki ID is recorded as Definition:Projective_Object[10].
  • projective object's Encyclopedia of Mathematics article ID is recorded as Projective_object_of_a_category[11].

Why It Matters

projective object ranks in the top 2% of general entities by monthly Wikipedia readership (29 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[12] It is known by 6 alternative names across languages and contexts.[13]

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] ↑ . Freebase Data Dumps. 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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] ↑ . Wikidata sitelinks. wikidata.org.
  3. [13] ↑ . 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)

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