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Authors: Rosales, J.C.
Garcia-Sanches, P.A.
Garcia-Garcia, J.I.
Branco, M.B.
Keywords: Numerical semigroup
Apéry sets
proportionally modular Diophantine inequality
Issue Date: 2005
Publisher: Czechoslovak Mathematical Journal
Abstract: We study numerical semigroups S with the property that if m is the multiplicity of S and w(i) is the least element of S congruent with i modulo m, then 0 < w(1) < : : : < w(m 􀀀 1). The set of numerical semigroups with this property and xed multiplicity is bijective with an a ne semigroup and consequently it can be described by a nite set of parameters. Invariants like the gender, type, embedding dimension and Frobenius number are computed for several families of this kind of numerical semigroups.
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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