THE CATENARY AND TAME DEGREES ON A NUMERICAL MONOID ARE EVENTUALLY PERIODIC

DOI10.1017/S1446788714000330zbMath1310.20052OpenAlexW2317291291MaRDI QIDQ2934248

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Publication date: 12 December 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788714000330

zbMATH Keywords

numerical semigroupsnon-unique factorizationslengths of factorizationscatenary degreesnumerical monoidstame degree

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) The Frobenius problem (11D07) Arithmetic theory of semigroups (20M13)

Related Items (17)

The set of distances in seminormal weakly Krull monoids ⋮ Increasing positive monoids of ordered fields are FF-monoids ⋮ Sets of arithmetical invariants in transfer Krull monoids ⋮ Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators ⋮ Unnamed Item ⋮ The computation of factorization invariants for affine semigroups ⋮ Factorization invariants in numerical monoids ⋮ On dynamic algorithms for factorization invariants in numerical monoids ⋮ On strongly primary monoids and domains ⋮ \(\omega \)-primality in arithmetic Leamer monoids ⋮ On factorization invariants and Hilbert functions ⋮ Measuring primality in numerical semigroups with embedding dimension three ⋮ Augmented Hilbert series of numerical semigroups ⋮ Distances between Factorizations in the Chicken McNugget Monoid ⋮ An Overview of the Computational Aspects of Nonunique Factorization Invariants ⋮ THE CATENARY DEGREE OF KRULL MONOIDS II ⋮ On the atomic structure of Puiseux monoids

Uses Software

• numericalsgps

Cites Work

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• The monotone catenary degree of Krull monoids.
• The catenary degree of Krull monoids. I
• A characterization of arithmetical invariants by the monoid of relations.
• Delta sets of numerical monoids are eventually periodic.
• Numerical semigroups.
• On the Delta set and catenary degree of Krull monoids with infinite cyclic divisor class group.
• Full elasticity in atomic monoids and integral domains.
• The catenary and tame degree in finitely generated commutative cancellative monoids.
• Factorization and catenary degree in 3-generated numerical semigroups
• The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences
• ON DELTA SETS OF NUMERICAL MONOIDS
• The catenary and tame degree of numerical monoids

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