Finer factorization characterizations of class number 2

DOI10.1216/rmj.2021.51.97zbMath1475.11202OpenAlexW3168297048MaRDI QIDQ1981342

Scott Thomas Chapman

Publication date: 10 September 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj.2021.51.97

zbMATH Keywords

class numbercatenary degreecross numbertame degreenonunique factorization

Mathematics Subject Classification ID

Units and factorization (11R27) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)

Cites Work

• The catenary degree of Krull monoids. I
• A characterization of algebraic number fields with cyclic class group of prime power order
• Elasticity of factorizations in integral domains
• On congruence half-factorial Krull monoids with cyclic class group
• Every Abelian group is a class group
• On a characterization of algebraic number fields with class number less than three
• The catenary and tame degree of numerical monoids
• On the hfd, chfd, and k-hfd properties in dedekind domains
• Sets of Lengths
• A Characterization of Algebraic Number Fields with Class Number Two
• So What Is Class Number 2?
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