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A Tale of Two Monoids: A Friendly Introduction to Nonunique Factorizations

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Publication:2929527
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DOI10.4169/math.mag.87.3.163zbMath1298.11007OpenAlexW2753060439WikidataQ114021542 ScholiaQ114021542MaRDI QIDQ2929527

S. C. Chapman

Publication date: 12 November 2014

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/math.mag.87.3.163


zbMATH Keywords

non-unique factorizationsarithmetic sequencesfundamental theorem of arithmetic


Mathematics Subject Classification ID

Commutative semigroups (20M14) Factorization; primality (11A51) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)


Related Items

Increasing positive monoids of ordered fields are FF-monoids ⋮ Sets of Lengths ⋮ The Importance of Being Prime ⋆ , a Nontrivial Generalization for Nonunique Factorizations ⋮ A characterisation of atomicity ⋮ An example of an atomic pullback without the ACCP ⋮ On the atomic structure of Puiseux monoids



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