On some families of subsemigroups of a numerical semigroup

To a given numerical semigroup S we associate a family of subsemigroups {휕nS}, n ∈ ℕ, that permits us to understand some of the structure of S. We characterize this family in case S is a supersymmetric numerical semigroup or S has maximal embedding dimension. We also prove some properties related to...

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Autores:
Arias Amaya, Fabián
Borja, Jerson
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/10326
Acceso en línea:
https://hdl.handle.net/20.500.12585/10326
Palabra clave:
Numerical semigroup
Supersymmetric
Maximal embedding dimension
Minimal generating set
LEMB
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary:To a given numerical semigroup S we associate a family of subsemigroups {휕nS}, n ∈ ℕ, that permits us to understand some of the structure of S. We characterize this family in case S is a supersymmetric numerical semigroup or S has maximal embedding dimension. We also prove some properties related to embedding dimension and certain symmetry of the minimal generating set of the members of this family