Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/34702

Title: Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number
Authors: J. Carlos, Rosales
Manuel, Branco
Manuel, Faria
Keywords: numerical semigroups, positioned numerical semigroups, C-semigroups, D-semigroups tree, Frobenius number, multiplicity and gender
Issue Date: 2022
Publisher: Hacettepe Journal of Mathematics and Statistics
Citation: José Carlos ROSALES Manuel B. BRANCO M. C. FARİA, Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number, Hacettepe Journal of Mathematics & Statistics, Volume 51 (1) (2022), 218 – 227.
Abstract: A C-semigroup (respectively a D-semigroup) is a positioned numerical semigroup S such that g(S)=F(S)+m(S)−12 (respectively g(S)=F(S)+m(S)−22). In this paper we study these semigroups giving formulas for the Frobenius number, pseudo-Frobenius number, and type. Furthermore, we give algorithms for computing the whole set of C-semigroups and D-semigroups.
URI: https://dergipark.org.tr/en/download/article-file/1639835
http://hdl.handle.net/10174/34702
Type: article
Appears in Collections:CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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