A theorem on accepted elasticity in certain local arithmetical congruence monoids.

DOI10.1007/s12188-008-0012-xzbMath1194.20057OpenAlexW2000667987MaRDI QIDQ1032520

M. Banister, William Meyerson, Jon Chaika, Scott Thomas Chapman

Publication date: 26 October 2009

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-008-0012-x

zbMATH Keywords

non-unique factorizationslengths of factorizationselasticities of factorizationsfactorizations into irreduciblesarithmetical congruence monoidshalf-factorial monoids

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Commutative semigroups (20M14) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Factorization; primality (11A51)

Related Items

On length densities, On the elasticity of generalized arithmetical congruence monoids., Accepted elasticity in local arithmetic congruence monoids., Arithmetic of Congruence Monoids, On the periodicity of irreducible elements in arithmetical congruence monoids, Arithmetic of seminormal weakly Krull monoids and domains, Arithmetic Congruence Monoids: A Survey

Cites Work

• Arithmetical semigroups defined by congruences
• Elastic properties and prime elements.
• On the delta set of a singular arithmetical congruence monoid.
• On a result of James and Niven concerning unique factorization in congruence semigroups.
• On the arithmetic of arithmetical congruence monoids
• Congruence monoids
• Unique Factorization in Multiplicative Systems
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