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arXiv · 0705.2095

Prüfer's Ideal Numbers as Gelfand's maximal Ideals

S. Albeverio·V. Polischook
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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 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.

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BibTeXRIS

S. Albeverio, V. Polischook. 2007-05-15. Prüfer's Ideal Numbers as Gelfand's maximal Ideals. https://arxiv.org/abs/0705.2095

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