Home β€Ί Entities β€Ί general β€Ί injective object

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
Press Enter Β· cited answer in seconds

Summary

injective object ranks in the top 2% of general entities by monthly Wikipedia readership (100 views/month).[1]

Key Facts

  • injective object is a type of object of a category[2].
  • injective object's studied by is recorded as homological algebra[3].
  • injective object's P14540 is recorded as projective object[4].

Body

Definition and Type

injective object is a type of object of a category[2].

Why It Matters

injective object ranks in the top 2% of general entities by monthly Wikipedia readership (100 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[5] It is known by 15 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.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [5] ↑ . Wikidata sitelinks. wikidata.org.
  3. [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). injective object. Retrieved October 16, 2026, from https://4ort.xyz/entity/injective-object
MLA “injective object.” 4ort.xyz Knowledge Graph, 4ort.xyz, 16 Oct. 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: 2026-10-16}}
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 2026-10-16)

Canonical URL: https://4ort.xyz/entity/injective-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. 8d ago Β· KrBot bot Β· 2026-10-08 view diff on Wikidata β†—
    Subclass of β†’ object of a category
    Wikipedia languages β†’ ['de', 'el', 'en', 'he', 'ja', 'ko', 'pt', 'ru', 'uk']
    Claims rich β†’ β€”
    "/* wbsetclaimvalue:1| */ Subclass of: object of a category, Ρ€Π°Π·Ρ€Π΅ΡˆΠ΅Π½ΠΈΠ΅ пСрСнаправлСния / resolving redirect object of a category β†’ object of a category ([[:toollabs:editgroups/b/KrBotResolvingRedirect"
  2. 16w ago Β· HTinC23 Β· 2026-06-22 view diff on Wikidata β†—
    Aliases β†’ β€”
    Subclass of β†’ β€”
    P14540 β†’ projective object
    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 Opposite of to P14540"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.