On the elasticity of generalized arithmetical congruence monoids.

DOI10.1007/s00025-010-0062-0zbMath1203.20058OpenAlexW2047681490MaRDI QIDQ606386

Sumit K. Garg

Publication date: 17 November 2010

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

Full work available at URL: https://doi.org/10.1007/s00025-010-0062-0

zbMATH Keywords

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

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Factorization; primality (11A51) Arithmetic theory of semigroups (20M13)

Related Items (6)

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 ⋮ On elasticities of locally finitely generated monoids ⋮ Arithmetic Congruence Monoids: A Survey

Cites Work

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• Arithmetical semigroups defined by congruences
• On the delta set of a singular arithmetical congruence monoid.
• A theorem on accepted elasticity in certain local arithmetical congruence monoids.
• On the arithmetic of arithmetical congruence monoids
• Congruence monoids
• Unique Factorization in Multiplicative Systems

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