Répartition des idéaux premiers parmi les classes d'idéaux dans un anneau de Dedekind et équidécomposition. (Distribution of prime ideals within the ideal classes in a Dedekind ring and equidecomposition.)

DOI10.1016/0021-8693(86)90016-5zbMath0603.13004OpenAlexW1986269859MaRDI QIDQ1082376

Jean-Luc Steffan, Daniel Michel

Publication date: 1986

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90016-5

zbMATH Keywords

Dedekind domainéquidécompositionrealization of group as ideal class group

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (9)

Longueurs des décompositions en produits d'éléments irréductibles dans un anneau de Dedekind. (Lengths of decompositions in products of irreducible elements in a Dedekind ring) ⋮ On the hfd, chfd, and k-hfd properties in dedekind domains ⋮ Length-factoriality in commutative monoids and integral domains ⋮ On Dedekind domains whose class groups are direct sums of cyclic groups ⋮ Elasticity of factorizations in integral domains ⋮ Local tameness of \(v\)-Noetherian monoids. ⋮ On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural char\-ac\-ter\-i\-zation. ⋮ Computing the elasticity of a Krull monoid ⋮ Factorization in Dedekind domains with finite class group

Cites Work

• Unnamed Item
• Dedekind domains: Overrings and semi-prime elements
• Dedekind domains and rings of quotients
• Maximal orders over Krull domains
• A Characterization of Algebraic Number Fields with Class Number Two
• Number fields

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