Autor segons l'article: Bras-Amoros, Maria; Perez-Roses, Hebert; Miguel Serradilla-Merinero, Jose;
Departament: Enginyeria Informàtica i Matemàtiques
e-ISSN: 2073-8994
Autor/s de la URV: Bras Amoros, Maria / Pérez Rosés, Hebert / Serradilla Merinero, José Miguel
Paraules clau: Quasi-ordinarization transform Ordinarization transform Numerical semigroup Number Genus Forest
Resum: 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.
Àrees temàtiques: 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
Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
Adreça de correu electrònic de l'autor: hebert.perez@urv.cat maria.bras@urv.cat
Identificador de l'autor: 0000-0002-3481-004X
Data d'alta del registre: 2024-07-27
Volum de revista: 13
Versió de l'article dipositat: info:eu-repo/semantics/publishedVersion
Enllaç font original: https://www.mdpi.com/2073-8994/13/6/1084
URL Document de llicència: https://repositori.urv.cat/ca/proteccio-de-dades/
Referència a l'article segons font original: Symmetry-Basel. 13 (6):
Referència 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 de l'article: 10.3390/sym13061084
Entitat: Universitat Rovira i Virgili
Any de publicació de la revista: 2021
Tipus de publicació: Journal Publications