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)

DOI10.1016/0021-8693(86)90138-9zbMath0593.13015OpenAlexW2011326768MaRDI QIDQ1076087

Jean-Luc Steffan

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)90138-9

zbMATH Keywords

Dedekind domainnumber of ideal classes

Mathematics Subject Classification ID

Quadratic extensions (11R11) Structure, classification theorems for modules and ideals in commutative rings (13C05) Iwasawa theory (11R23) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Related Items (16)

Some factorization properties of Krull domains with infinite cyclic divisor class group ⋮ On the hfd, chfd, and k-hfd properties in dedekind domains ⋮ Elasticity for integral-valued polynomials ⋮ Factorizations in evaluation monoids of Laurent semirings ⋮ Elasticity of factorizations in atomic monoids and integral domains ⋮ Factorization in K[Xⁿ, Xⁿ⁺¹,…,X²ⁿ⁻¹] ⋮ On the primality and elasticity of algebraic valuations of cyclic free semirings ⋮ Arithmetic of additively reduced monoid semidomains ⋮ On the arithmetic of polynomial semidomains ⋮ Elasticity of factorizations in integral domains ⋮ Rational Elasticity of Factorizations in Krull Domains ⋮ Factorization in Dedekind domains with finite class group ⋮ Elasticity of \(A+XB[X\) domains] ⋮ Bounded and finite factorization domains ⋮ Elasticity and ramification ⋮ Factorization in \(K[X^ 2,X^ 3\)]

Cites Work

• Unnamed Item
• 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.)
• Half factorial domains
• A Characterization of Algebraic Number Fields with Class Number Two

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