Splitting multiplicative sets and elasticity

DOI10.1080/00927879808826197zbMath0932.13012OpenAlexW2031538210MaRDI QIDQ4390576

David F. Anderson, Jeanam Park, Gi-Ik Kim, H. J. Oh

Publication date: 4 August 1998

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

Full work available at URL: https://doi.org/10.1080/00927879808826197

zbMATH Keywords

elasticityatomic integral domainirreducible factorizationlengths of factorizationssplitting multiplicative set

Mathematics Subject Classification ID

Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)

Related Items (1)

Splitting sets in integral domains

Cites Work

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• An analysis using the Zaks-Skula constant of element factorizations in Dedekind domains
• Factorization in Dedekind domains with finite class group
• Factorization in integral domains
• On primary factorizations
• Splitting the t-class group
• Elasticity of factorizations in integral domains
• Factorization in integral domains. II
• Some factorization properties of Krull domains with infinite cyclic divisor class group
• Half-factorial-domains
• Factorization sets and half-factorial sets in integral domains
• Elasticity of factorization in number fields
• A general theory of class groups
• On the hfd, chfd, and k-hfd properties in dedekind domains
• Atomic domains in which almost all atoms are prime
• Overrings of Half-Factorial Domains
• Overring of half-factorial domains. II

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