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Symmetric monoidal category — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Symmetric_monoidal_category
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-15T17:53:51.402Z
SHA-256 of the archived text: 0dff44ec651e9bbe930daea8bc3d7f87da0b7fcc1a014ac59341b5813be5e680
Stable URL of this page: https://metraipolis.com/documento/dc_4cf8fa702bc2

How to cite

Symmetric monoidal category — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Symmetric_monoidal_category (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_4cf8fa702bc2 (Metraipolis archive dc_4cf8fa702bc2, sha256 0dff44ec651e9bbe930daea8bc3d7f87da0b7fcc1a014ac59341b5813be5e680)

BibTeX

@misc{dc4cf8fa702bc2,
  title = {Symmetric monoidal category — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Symmetric_monoidal_category},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_4cf8fa702bc2; sha256 0dff44ec651e9bbe930daea8bc3d7f87da0b7fcc1a014ac59341b5813be5e680},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Symmetric_monoidal_category. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In category theory, a branch of mathematics, a symmetric monoidal category is a monoidal category (i.e. a category in which a "tensor product" ⊗ {\displaystyle \otimes } is defined) such that the tensor product is symmetric (i.e. A ⊗ B {\displaystyle A\otimes B} is, in a certain strict sense, naturally isomorphic to B ⊗ A {\displaystyle B\otimes A} for all objects A {\displaystyle A} and B {\displaystyle B} of the category). One of the prototypical examples of a symmetric monoidal category is the category of vector spaces over some fixed field k, using the ordinary tensor product of vector spaces.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; ricerca «category theory»).
Fonte: Wikipedia in inglese, voce «Symmetric monoidal category» — https://en.wikipedia.org/wiki/Symmetric_monoidal_category
Wikidata Q17103860 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q17103860
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Symmetric_monoidal_category?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1375128623, consultata il 2026-10-15T17:05:34.769Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: a1da5c613f0a88fc8ed7a0738755ea3e6c2a3e52e72e11b73a29d81a6c19cba9