On Numerical Semigroups Generated by Generalized Arithmetic Sequences

DOI10.1081/AGB-120039623zbMath1070.20069MaRDI QIDQ3158322

Gretchen L. Matthews

Publication date: 24 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

Arf semigroupsnumerical semigroupsgeneralized arithmetic sequencesLipman semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05)

Related Items (12)

The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences ⋮ Syzygies of \textit{GS} monomial curves and Weierstrass property ⋮ Equidistribution of numerical semigroup gaps modulo \(m\) ⋮ Chomp on numerical semigroups ⋮ Irreducible numerical semigroups with multiplicity three and four. ⋮ Numerical semigroups with unique Apéry expansions ⋮ Unnamed Item ⋮ \(\omega \)-primality in arithmetic Leamer monoids ⋮ Atomicity and boundedness of monotone Puiseux monoids ⋮ Nearly Gorenstein vs almost Gorenstein affine monomial curves ⋮ Numerical semigroups: Apéry sets and Hilbert series. ⋮ On the Type and the Minimal Presentation of Certain Numerical Semigroups

Cites Work

• The linear diophantine problem of Frobenius for subsets of arithmetic sequences
• An algorithm for a solution of a problem of Frobenius.
• On the linear diophantine problem of Frobenius.
• A note on Symmetric Semigroups and almost arithmetic sequences
• Stable Ideals and Arf Rings
• On a Problem of Partitions
• On numerical semigroups

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