On the linearity of \(\omega\)-primality in numerical monoids.

DOI10.1016/j.jpaa.2014.01.002zbMath1303.20064arXiv1309.7476OpenAlexW1980814489MaRDI QIDQ2443273

Christopher O'Neill, Roberto Pelayo

Publication date: 7 April 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.7476

zbMATH Keywords

atomsnon-unique factorizationsatomic monoidsnumerical monoidsnonunitsomega-primality

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Other combinatorial number theory (11B75) The Frobenius problem (11D07)

Related Items

On the set of elasticities in numerical monoids ⋮ Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators ⋮ Factorization invariants in numerical monoids ⋮ On dynamic algorithms for factorization invariants in numerical monoids ⋮ Factoring in the Chicken McNugget Monoid ⋮ Factorization properties of Leamer monoids. ⋮ \(\omega \)-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

Uses Software

• numericalsgps

Cites Work

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• On the omega values of generators of embedding dimension-three numerical monoids generated by an interval
• An algorithm to compute \(\omega\)-primality in a numerical monoid.
• Numerical semigroups.
• Local tameness of \(v\)-Noetherian monoids.
• Full elasticity in atomic monoids and integral domains.
• ON BOUNDING MEASURES OF PRIMENESS IN INTEGRAL DOMAINS
• The catenary and tame degree of numerical monoids

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