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monoidal category

category admitting tensor products
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monoidal category

Summary

monoidal category has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • monoidal category is a type of monoid object[2].
  • monoidal category comprises functor[3].
  • monoidal category comprises object of a category[4].
  • monoidal category's topic's main category is recorded as Category:Monoidal categories[5].
  • monoidal category's studied by is recorded as category theory[6].
  • monoidal category's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • monoidal category's underlying structure is recorded as category[8].
  • monoidal category's underlying structure is recorded as multicategory[9].

Body

Definition and Type

monoidal category is a type of monoid object[2].

Use and Application

Components include functor[3] and object of a category[4], a mathematical term[10].

Why It Matters

monoidal category has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[1] It is known by 10 alternative names across languages and contexts.[11]

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.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [10] ↑ . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [11] ↑ . 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). monoidal category. Retrieved April 11, 2026, from https://4ort.xyz/entity/monoidal-category
MLA “monoidal category.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/monoidal-category.
BibTeX @misc{4ortxyz_monoidal-category_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{monoidal category}}, year = {2026}, url = {https://4ort.xyz/entity/monoidal-category}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): monoidal category — https://4ort.xyz/entity/monoidal-category (retrieved 2026-04-11)

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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 — follow the history link to see the precise diff for any edit.

  1. 3d ago · Mynus grey · 2026-07-02 view diff on Wikidata ↗
    Subclass of → —
    Topic's main category → Category:Monoidal categories
    Underlying structure(s) → category, multicategory
    P14534 → CategoryTheory.MonoidalCategory
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbcreateclaim-create:1| */ [[Property:P14534]]: CategoryTheory.MonoidalCategory, #quickstatements; #temporary_batch_1783013068346"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.