The numerical duplication of a numerical semigroup.

DOI10.1007/s00233-012-9451-xzbMath1282.20065arXiv1211.3693OpenAlexW2074148853MaRDI QIDQ372347

Francesco Strazzanti, Marco D'Anna

Publication date: 7 October 2013

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

Full work available at URL: https://arxiv.org/abs/1211.3693

zbMATH Keywords

typesalmost symmetric numerical semigroupscanonical idealsduplication of numerical semigroupsnumbers of gapspseudo-Frobenius numbersrelative ideals of numerical semigroupsWeierstrass semigroups

Mathematics Subject Classification ID

Ideal theory for semigroups (20M12) Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (17)

Minimal genus of a multiple and Frobenius number of a quotient of a numerical semigroup ⋮ One half of almost symmetric numerical semigroups ⋮ Counting numerical semigroups by genus and even gaps ⋮ Coefficient rings of numerical semigroup algebras ⋮ One-dimensional Gorenstein local rings with decreasing Hilbert function ⋮ On semigroup rings with decreasing Hilbert function ⋮ Patterns on the Numerical Duplication by Their Admissibility Degree ⋮ A characterization of the Arf property for quadratic quotients of the Rees algebra ⋮ The ideal duplication ⋮ Almost canonical ideals and GAS numerical semigroups ⋮ Families of Gorenstein and almost Gorenstein rings ⋮ Generators of a fraction of a numerical semigroup ⋮ The doubles of one half of a numerical semigroup. ⋮ Ring and Semigroup Constructions ⋮ Tangent cones of monomial curves obtained by numerical duplication ⋮ A Family of Quotients of the Rees Algebra ⋮ Star Operations on Numerical Semigroups

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