The maximum proportionally modular numerical semigroup with given multiplicity and ratio.

DOI10.1007/s00233-010-9235-0zbMath1218.20039OpenAlexW1972779773WikidataQ58842641 ScholiaQ58842641MaRDI QIDQ633179

Juan-Miguel Gracia

Publication date: 31 March 2011

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-010-9235-0

zbMATH Keywords

Diophantine inequalitiesgenerating setsnumerical semigroupsFrobenius numbers

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Diophantine inequalities (11D75) The Frobenius problem (11D07)

Related Items (1)

Proportionally modular affine semigroups

Cites Work

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• Opened modular numerical semigroups.
• Principal ideals of numerical semigroups.
• Proportionally modular Diophantine inequalities.
• The set of solutions of a proportionally modular Diophantine inequality
• Proportionally modular diophantine inequalities and the Stern-Brocot tree
• Maximality properties in numerical semigroups and applications to one-dimensional analytically irreducible local domains
• OPENED MODULAR NUMERICAL SEMIGROUPS WITH A GIVEN MULTIPLICITY
• On the linear diophantine problem of Frobenius.

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