Every Numerical Semigroup is One Half of Infinitely Many Symmetric Numerical Semigroups

DOI10.1080/00927870802108171zbMath1166.20055OpenAlexW2126513522WikidataQ58842727 ScholiaQ58842727MaRDI QIDQ3525192

José Carlos Rosales, Pedro A. García Sánchez

Publication date: 11 September 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802108171

zbMATH Keywords

symmetric numerical semigroups

Mathematics Subject Classification ID

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

Related Items (12)

Patterns of ideals of numerical semigroups ⋮ Minimal genus of a multiple and Frobenius number of a quotient of a numerical semigroup ⋮ The doubles of a numerical semigroup. ⋮ One half of almost symmetric numerical semigroups ⋮ The numerical duplication of a numerical semigroup. ⋮ Coefficient rings of numerical semigroup algebras ⋮ Numerical semigroups whose fractions are of maximal embedding dimension. ⋮ One half of a maximal embedding dimension numerical semigroup. ⋮ The arithmetic extensions of a numerical semigroup ⋮ A Gorenstein numerical semi-group ring having a transcendental series of Betti numbers ⋮ Quotients of perfect numerical semigroups ⋮ Generators of a fraction of a numerical semigroup

Cites Work

• Proportionally modular Diophantine inequalities.
• Numerical semigroups that can be expressed as an intersection of symmetric numerical semigroups
• Irreducible numerical semigroups.
• Proportionally modular Diophantine inequalities and full semigroups.
• On the linear diophantine problem of Frobenius.
• On numerical semigroups

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