The Euclidean Criterion for Irreducibles

DOI10.4169/amer.math.monthly.124.3.198zbMath1391.13035arXiv1605.01298OpenAlexW2963178923WikidataQ58119945 ScholiaQ58119945MaRDI QIDQ4575236

Pete L. Clark

Publication date: 13 July 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01298

Mathematics Subject Classification ID

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

Related Items (9)

On the Subatomicity of Polynomial Semidomains ⋮ Coset topologies on \(\mathbb{Z}\) and arithmetic applications ⋮ A note on Golomb topologies ⋮ The Golomb topology on a Dedekind domain and the group of units of its quotients ⋮ On domains with properties weaker than atomicity ⋮ Divisibility in rings of integer-valued polynomials ⋮ The Golomb Topology of Polynomial Rings ⋮ Atoms in quasilocal integral domains and Cohen–Kaplansky domains ⋮ Integral domains and the IDF property

Uses Software

• MathOverflow

Cites Work

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• Cohen-Kaplansky domains and the Goldbach conjecture
• On the Infinitude of Primes
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• Math Bite: A Novel Proof of the Infinitude of Primes, Revisited
• A note on Golomb topologies
• A Connected Topology for the Integers
• Unique Factorization Domains
• Rings With a Finite Number of Primes. I

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