Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number
Metadata
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Hacettepe University
Materia
Numerical semigroups Positioned numerical semigroups C-semigroups D-semigroups tree Frobenius number Multiplicity Gender
Date
2022Referencia bibliográfica
Rosales, J. C., Branco, M. B., & Faria, M. C. Positioned numerical semigroups with maximal gender as function of multiplicity and Frobenius number. Hacettepe Journal of Mathematics and Statistics, 51(1), 218-227. [DOI : 10.15672/hujms.897234]
Abstract
A C-semigroup (respectively a D-semigroup) is a positioned numerical semigroup S such that g(S) (Formula presernted) (respectively g(S) (Formula presernted). 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.
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