Prüfer's Ideal Numbers as Gelfand's maximal Ideals

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dc.creatorAlbeverio, S.
dc.creatorPolischook, V.
dc.date2007-05-15
dc.date.accessioned2026-07-07T08:01:38Z
dc.date.available2026-07-07T08:01:38Z
dc.descriptionPolyadic arithmetics is a branch of mathematics related to $p$--adic theory. The aim of the present paper is to show that there are very close relations between polyadic arithmetics and the classic theory of commutative Banach algebras. Namely, let $\ms A$ be the algebra consisting of all complex periodic functions on $\Z$ with the uniform norm. Then the polyadic topological ring can be defined as the ring of all characters $\ms A\to\C$ with convolution operations and the Gelfand topology.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0705.2095
dc.identifierhttp://arxiv.org/abs/0705.2095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128970
dc.subjectNumber Theory
dc.subjectFunctional Analysis
dc.subject46J20, 43A60
dc.titlePrüfer's Ideal Numbers as Gelfand's maximal Ideals
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