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Alternating multilinear map — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Alternating_multilinear_map
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-08T17:55:18.026Z
SHA-256 of the archived text: 88f09c11ed32d31f626192da206f4e820c240c403e3b2111e23127e9c289ebe8
Stable URL of this page: https://metraipolis.com/documento/dc_c8f291f5aaa3

How to cite

Alternating multilinear map — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Alternating_multilinear_map (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_c8f291f5aaa3 (Metraipolis archive dc_c8f291f5aaa3, sha256 88f09c11ed32d31f626192da206f4e820c240c403e3b2111e23127e9c289ebe8)

BibTeX

@misc{dcc8f291f5aaa3,
  title = {Alternating multilinear map — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Alternating_multilinear_map},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_c8f291f5aaa3; sha256 88f09c11ed32d31f626192da206f4e820c240c403e3b2111e23127e9c289ebe8},
  year = {2026}
}

Archived text

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

In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments belonging to the same vector space (for example, a bilinear form or a multilinear form) that is zero whenever any pair of its arguments is equal. This generalizes directly to a module over a commutative ring. The notion of alternatization (or alternatisation) is used to derive an alternating multilinear map from any multilinear map of which all arguments belong to the same space.

Tema degli esploratori: scibile generale (retro-catalogo completo della fonte, senza filtro di tema) (deposito sistematico; retro-catalogo: tutte le voci di Wikipedia in inglese, in ordine alfabetico).
Fonte: Wikipedia in inglese, voce «Alternating multilinear map» — https://en.wikipedia.org/wiki/Alternating_multilinear_map
Wikidata Q4736615: «multilinear map that is 0 whenever arguments are linearly dependent» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q4736615
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Alternating_multilinear_map?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 1336483316, consultata il 2026-11-08T17:51:20.688Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: ea5274f1f0517cf80e2a9696b1617fe7e516bb5b8fad6a1c28b5192d3576f577