On the Elasticities of Krull Domains with Finite Cyclic Divisor Class Group

DOI10.1080/00927870008826977zbMath0964.13001OpenAlexW2078487921MaRDI QIDQ4495375

David F. Anderson, Scott Thomas Chapman

Publication date: 10 August 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008826977

zbMATH Keywords

Krull domaindivisor class groupelasticity of factorizations

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Class groups (13C20) Divisibility and factorizations in commutative rings (13A05)

Related Items

On minimum delta set values in block monoids over cyclic groups., On the primality and elasticity of algebraic valuations of cyclic free semirings, An inequality concerning the elasticity of Krull monoids with divisor class group \(\mathbb{Z}_p\)., Full elasticity in atomic monoids and integral domains., Elasticity in certain block monoids via the Euclidean table, Computing the elasticity of a Krull monoid, Restricted elasticity and rings of integer-valued polynomials determined by finite subsets, Elasticities of Krull domains with finite divisor class group, Elasticities of Krull monoids with infinite cyclic class group, On a property of the division algorithm and its application to the theory of non-unique factorizations

Cites Work

• An analysis using the Zaks-Skula constant of element factorizations in Dedekind domains
• A characterization of algebraic number fields with cyclic class group of prime power order
• Elasticity of factorizations in integral domains
• On the hfd, chfd, and k-hfd properties in dedekind domains
• On the k ‐HFD property in Dedekind domains with small class group