Ideals of proportionally modular numerical semigroups.

DOI10.1016/j.jalgebra.2010.02.023zbMath1191.20070OpenAlexW2040094318WikidataQ58842644 ScholiaQ58842644MaRDI QIDQ974380

José Carlos Rosales, Paulo Vasco

Publication date: 2 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.02.023

zbMATH Keywords

algorithmsDiophantine inequalitiesidealspseudo-Frobenius numbersideal extensionsproportionally modular numerical semigroupsIPM-semigroups

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Diophantine inequalities (11D75)

Related Items

Numerical semigroups with a given set of pseudo-Frobenius numbers

Cites Work

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• Principal ideals of numerical semigroups.
• Proportionally modular Diophantine inequalities.
• Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups
• Irreducible numerical semigroups.
• The set of solutions of a proportionally modular Diophantine inequality
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• On numerical semigroups