Autor según el artículo: Bras-Amoros, Maria; Perez-Roses, Hebert; Miguel Serradilla-Merinero, Jose;
Departamento: Enginyeria Informàtica i Matemàtiques
e-ISSN: 2073-8994
Autor/es de la URV: Bras Amoros, Maria / Pérez Rosés, Hebert / Serradilla Merinero, José Miguel
Palabras clave: Quasi-ordinarization transform Ordinarization transform Numerical semigroup Number Genus Forest
Resumen: In this study, we present the notion of the quasi-ordinarization transform of a numerical semigroup. The set of all semigroups of a fixed genus can be organized in a forest whose roots are all the quasi-ordinary semigroups of the same genus. This way, we approach the conjecture on the increasingness of the cardinalities of the sets of numerical semigroups of each given genus. We analyze the number of nodes at each depth in the forest and propose new conjectures. Some properties of the quasi-ordinarization transform are presented, as well as some relations between the ordinarization and quasi-ordinarization transforms.
Áreas temáticas: Visual arts and performing arts Physics and astronomy (miscellaneous) Multidisciplinary sciences Modeling and simulation Mathematics, interdisciplinary applications Mathematics (miscellaneous) Mathematics (all) Matemática / probabilidade e estatística General mathematics Engineering (miscellaneous) Computer science (miscellaneous) Ciência da computação Chemistry (miscellaneous) Arts and humanities (miscellaneous) Architecture Applied mathematics
Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/
Direcció de correo del autor: hebert.perez@urv.cat maria.bras@urv.cat
Identificador del autor: 0000-0002-3481-004X
Fecha de alta del registro: 2024-07-27
Volumen de revista: 13
Versión del articulo depositado: info:eu-repo/semantics/publishedVersion
Enlace a la fuente original: https://www.mdpi.com/2073-8994/13/6/1084
URL Documento de licencia: https://repositori.urv.cat/ca/proteccio-de-dades/
Referencia al articulo segun fuente origial: Symmetry-Basel. 13 (6):
Referencia de l'ítem segons les normes APA: Bras-Amoros, Maria; Perez-Roses, Hebert; Miguel Serradilla-Merinero, Jose; (2021). Quasi-Ordinarization Transform of a Numerical Semigroup. Symmetry-Basel, 13(6), -. DOI: 10.3390/sym13061084
DOI del artículo: 10.3390/sym13061084
Entidad: Universitat Rovira i Virgili
Año de publicación de la revista: 2021
Tipo de publicación: Journal Publications