Steinitz classes for Galois extensions of Dedekind rings

DOI10.1007/s11856-012-0160-7zbMath1277.13014OpenAlexW2000337879MaRDI QIDQ375884

Rebecca Roy, Peter Schmid

Publication date: 1 November 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-012-0160-7

zbMATH Keywords

Dedekind domainGalois extension of ringsSteinitz class

Mathematics Subject Classification ID

Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Algebraic numbers; rings of algebraic integers (11R04) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Galois theory and commutative ring extensions (13B05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On power integral bases of unramified cyclic extensions of prime degree
• Relative integral bases over a Hilbert class field
• Hilbert-Speiser number fields and the complex conjugation
• On Integral Bases
• On Ramification Theory in Noetherian Rings
• A generalization of Hubert’s theorem 94
• The Group of Unramified Kummer Extensions of Prime Degree
• Endliche Gruppen I
• The discriminants of relative extensions and the existence of integral bases

This page was built for publication: Steinitz classes for Galois extensions of Dedekind rings