Arithmetic of Congruence Monoids

DOI10.1080/00927872.2015.1065874zbMath1350.20042OpenAlexW2189126449MaRDI QIDQ5740601

Arielle Fujiwara, Daniel Montealegre, Joseph Gibson, Ari Tenzer, Matthew Jenssen, Vadim Ponomarenko

Publication date: 27 July 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1065874

zbMATH Keywords

elasticitynon-unique factorizationshalf-factorial monoidscongruence monoids

Mathematics Subject Classification ID

Commutative semigroups (20M14) Congruences; primitive roots; residue systems (11A07) Arithmetic theory of semigroups (20M13)

Cites Work

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• Accepted elasticity in local arithmetic congruence monoids.
• On the elasticity of generalized arithmetical congruence monoids.
• Factorization in integral domains
• Arithmetical semigroups defined by congruences
• Elastic properties and prime elements.
• On the delta set of a singular arithmetical congruence monoid.
• A theorem on accepted elasticity in certain local arithmetical congruence monoids.
• Irreducible Factorization Lengths and the Elasticity Problem within ℕ
• On the arithmetic of arithmetical congruence monoids
• Congruence monoids
• Arithmetic Congruence Monoids: A Survey

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