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Absorbing element — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Absorbing_element
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-07T08:35:41.295Z
SHA-256 of the archived text: a9604ebd34fec3454d2236d2139247a974433361a995a662acad460da546aa0d
Stable URL of this page: https://metraipolis.com/documento/dc_ef7ec98cfcb9

How to cite

Absorbing element — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Absorbing_element (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_ef7ec98cfcb9 (Metraipolis archive dc_ef7ec98cfcb9, sha256 a9604ebd34fec3454d2236d2139247a974433361a995a662acad460da546aa0d)

BibTeX

@misc{dcef7ec98cfcb9,
  title = {Absorbing element — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Absorbing_element},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_ef7ec98cfcb9; sha256 a9604ebd34fec3454d2236d2139247a974433361a995a662acad460da546aa0d},
  year = {2026}
}

Archived text

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

In mathematics, an absorbing element (or annihilating element) is a special type of element of a set with respect to a binary operation on that set. The result of combining an absorbing element with any element of the set is the absorbing element itself. In semigroup theory, the absorbing element is called a zero element because there is no risk of confusion with other notions of zero, with the notable exception: under additive notation zero may, quite naturally, denote the neutral element of a monoid. In this article "zero element" and "absorbing element" are synonymous.

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 «Absorbing element» — https://en.wikipedia.org/wiki/Absorbing_element
Wikidata Q187420: «special type of element of a set with respect to a binary composition operation on that set which, when composed with any element of the set, results in the absorbing element itself» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q187420
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Absorbing_element?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 1360606610, consultata il 2026-11-07T08:31:15.825Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: acd846ec17c23d138af6e412116129662dd9c813c2bda31993db2b907629d05f