adele.
An infinite sequence consisting of a real number and a p-adic number for every prime number p, such that all but finitely many of them are p-adic integers. More generally, a member of a self-dual topological ring built on any algebraic number field, and involving in a symmetric way all the completions of the field.
Meaning & usage
An infinite sequence consisting of a real number and a p-adic number for every prime number p, such that all but finitely many of them are p-adic integers. More generally, a member of a self-dual topological ring built on any algebraic number field, and involving in a symmetric way all the completions of the field.
Where this word comes from
Blend of additive + idele; coined by André Weil.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.