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