The half-factorial property in integral extensions

DOI10.1080/00927879908826618zbMath0956.13005OpenAlexW2105459628MaRDI QIDQ4253120

Coykendall, Jim

Publication date: 17 July 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826618

zbMATH Keywords

UFDhalf-factorial domainHFDunique factorization domain

Mathematics Subject Classification ID

Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Divisibility and factorizations in commutative rings (13A05)

Related Items (8)

On zero-dimensionality and fragmented rings ⋮ Irreducible Divisor Graphs and Factorization Properties of Domains ⋮ Length-factoriality in commutative monoids and integral domains ⋮ Survey article: Graphical representations of factorizations in commutative rings ⋮ Half-factorial domains in quadratic fields ⋮ Some remarks on half-factorial orders ⋮ Irreducible Divisor Graphs ⋮ On the integral closure of a half-factorial domain

Cites Work

• Unnamed Item
• Factorization in integral domains
• Factorization in integral domains. II
• Half-factorial-domains
• On the k ‐HFD property in Dedekind domains with small class group
• Half factorial domains
• Overrings of Half-Factorial Domains
• Half-factorial domains in quadratic fields

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