Subfields of the adele ring
type: Item
instance of: scholarly article
title: Subfields of the adele ring
zbMATH Open document ID: 1246.13026
author: Yuri L. Ershov
published in: Algebra and Logic
publication date: 2012-06-29T00:00:00Z
review text: The author establishes a \(1\)-\(1\) correspondence between immediate extensions of a Dedekind Ring and subfields of its rings of adeles containing its field of fractions. It is also shown that for any countable Dedekind Ring \(R\), there is an immediate extension \(R \subseteq R_0\) which is a Principal Ideal Ring.\ Some interesting related problems are also discussed.\ Applications are given in the classical case of algebraic number fields.
reviewed by: Sudesh Kaur Khanduja
Mathematics Subject Classification ID: 13F05
Mathematics Subject Classification ID: 12J10
zbMATH DE Number: 6051455
zbMATH Keywords: Dedekind rings
zbMATH Keywords: valued fields
MaRDI profile type: Publication
full work available at URL: s10469-009-9073-x
OpenAlex ID: W1967822110
cites work: Q5532660
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cites work: Preordered multivalued fields
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DOI: 10.1007/S10469-009-9073-X
description: scientific article; zbMATH DE number 6051455