Prüfer's Ideal Numbers as Gelfand's maximal Ideals - Mathematics > Number TheoryReport as inadecuate




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Abstract: Polyadic 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 relationsbetween polyadic arithmetics and the classic theory of commutative Banachalgebras. Namely, let $\ms A$ be the algebra consisting of all complex periodicfunctions on $\Z$ with the uniform norm. Then the polyadic topological ring canbe defined as the ring of all characters $\ms A\to\C$ with convolutionoperations and the Gelfand topology.



Author: S.Albeverio, V.Polischook

Source: https://arxiv.org/







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