On the delta set of a singular arithmetical congruence monoid.

DOI10.5802/jtnb.615zbMath1203.20057OpenAlexW2316703378MaRDI QIDQ1011971

Paul Baginski, Scott Thomas Chapman, George J. Schaeffer

Publication date: 14 April 2009

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/10832

zbMATH Keywords

non-unique factorizationslengths of factorizationselasticities of factorizationsfactorizations into irreduciblesarithmetical congruence monoidshalf-factorial monoidsdelta-setssets of gaps

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)

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Cites Work

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• Arithmetical semigroups defined by congruences
• On non-unique factorizations into irreducible elements
• Elasticity of factorizations in atomic monoids and integral domains
• On a result of James and Niven concerning unique factorization in congruence semigroups.
• ON DELTA SETS OF NUMERICAL MONOIDS
• On the arithmetic of arithmetical congruence monoids
• Congruence monoids
• Unique Factorization in Multiplicative Systems