Toward a generalization of strong approximation theorems to a general PF field.

DOI10.1215/KJM/1250283845zbMath1039.16014OpenAlexW1601857848MaRDI QIDQ1411706

Aiichi Yamasaki

Publication date: 2002

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250283845

zbMATH Keywords

Brauer groupscentral division algebravaluationadele ringsreduced Whitehead groupsDedekind domainsalgebraic number fieldstrong approximation propertyproduct formulaidele groupsreduced normweak approximation propertyPF fields

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Finite-dimensional division rings (16K20) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Linear algebraic groups over adèles and other rings and schemes (20G35)

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