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Atoms in quasilocal integral domains and Cohen–Kaplansky domains

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Publication:4998023
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DOI10.1142/S0219498821501103zbMath1464.13017arXiv1810.02922OpenAlexW3011202584MaRDI QIDQ4998023

Kevin W. Bombardier, Daniel D. Anderson

Publication date: 1 July 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02922

zbMATH Keywords

atomatomic domainirreducible elementCohen-Kaplansky domainquasilocal domain


Mathematics Subject Classification ID

Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Formal power series rings (13F25)


Related Items

On transfer Krull monoids



Cites Work

  • Unnamed Item
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  • Factorization in integral domains
  • Primary decomposition of divisorial ideals in Mori domains
  • Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
  • Elasticity of factorizations in integral domains
  • Long length functions
  • Cohen-Kaplansky domains and the Goldbach conjecture
  • A Note on Finite Unions of Ideals and Subgroups
  • Finitely generated groups of divisibility
  • The Euclidean Criterion for Irreducibles
  • The number of atoms in a primefree atomic domain
  • Finite factorization domains
  • On integral domains with no atoms
  • Rings With a Finite Number of Primes. I
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