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Algebraic number theory — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Algebraic_number_theory
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-15T14:14:17.243Z
SHA-256 of the archived text: 99b98655da70201b5d7537d8e8d0bc6d932377dd628268f3fac60be921a75448
Stable URL of this page: https://metraipolis.com/documento/dc_2293deaf41fa

How to cite

Algebraic number theory — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Algebraic_number_theory (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_2293deaf41fa (Metraipolis archive dc_2293deaf41fa, sha256 99b98655da70201b5d7537d8e8d0bc6d932377dd628268f3fac60be921a75448)

BibTeX

@misc{dc2293deaf41fa,
  title = {Algebraic number theory — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Algebraic_number_theory},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_2293deaf41fa; sha256 99b98655da70201b5d7537d8e8d0bc6d932377dd628268f3fac60be921a75448},
  year = {2026}
}

Archived text

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

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits unique factorization, the behavior of ideals, and the Galois groups of fields, can resolve questions of primary importance in number theory, like the existence of solutions to Diophantine equations.

Tema degli esploratori: matematica e informatica teorica (deposito sistematico; categoria «Number theory»).
Fonte: Wikipedia in inglese, voce «Algebraic number theory» — https://en.wikipedia.org/wiki/Algebraic_number_theory
Wikidata Q613048 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q613048
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Algebraic_number_theory?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 1379653075, consultata il 2026-10-15T13:53:31.453Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 6859de1160bce2a6ab464fbe8d73876c5cce02a44073927062383ac56b6cb776