Irreducible Factorization Lengths and the Elasticity Problem within ℕ

DOI10.4169/amer.math.monthly.120.04.322zbMath1280.20063OpenAlexW2396289030WikidataQ58183356 ScholiaQ58183356MaRDI QIDQ2846997

Daniel Montealegre, Matthew Jenssen, Vadim Ponomarenko

Publication date: 4 September 2013

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

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.120.04.322

zbMATH Keywords

atomsnumerical semigroupsirreducible elementsnumerical monoidsfactorization lengthselasticitiescongruence monoidssubmonoids of the natural numbers

Mathematics Subject Classification ID

Commutative semigroups (20M14) Factorization; primality (11A51) Arithmetic theory of semigroups (20M13)

Related Items (6)

The Importance of Being Prime ^⋆ , a Nontrivial Generalization for Nonunique Factorizations ⋮ Complement-Finite Ideals ⋮ Elasticity in Apéry Sets ⋮ Accepted elasticity in local arithmetic congruence monoids. ⋮ Arithmetic of Congruence Monoids ⋮ Multiplicative factorization in numerical semigroups

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