Modularly equidistant numerical semigroups
Metadatos
Afficher la notice complèteEditorial
Scientific and Technical Research Council of Turkey
Materia
Embedding dimension Frobenius number Genus Multiplicity Modularly equidistant numerical semigroups MED semigroups Numerical semigroup
Date
2020-11-23Referencia bibliográfica
ROSALES, J. C., BRANCO, M. B., & TRAESEL, M. A. (2021). Modularly equidistant numerical semigroups. Turkish Journal of Mathematics, 45(1), 288-299. [doi:10.3906/mat-2008-83]
Patrocinador
Junta de Andalucia MTM-2017-84890-P FQM343 FCT PTDC/MAT/73544/2006Résumé
If S is a numerical semigroup and s E S, we denote by nextS(s) = min (x E S | s < x}. Let a be an integer greater than or equal to two. A numerical semigroup is equidistant modulo a if nextS(s) - s - 1 is a multiple of a for every s E S. In this note, we give algorithms for computing the whole set of equidistant numerical semigroups modulo a with fixed multiplicity, genus, and Frobenius number. Moreover, we will study this kind of semigroups with maximal embedding dimension.