On criteria by Dedekind and Ore for integral ring extensions

DOI10.1007/S00013-004-1227-4zbMath1072.13004OpenAlexW1964247459MaRDI QIDQ1777336

Peter Schmid

Publication date: 13 May 2005

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-004-1227-4

zbMATH Keywords

Newton polygonsDedekind ringDedekind criterionOre criterionprincipality of integral closure

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Principal ideal rings (13F10) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

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Generating a power basis over a Dedekind ring ⋮ SPECIALIZATIONS OF GENERALIZED RIKUNA POLYNOMIALS ⋮ On relative pure cyclic fields with power integral bases

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