Author, as appears in the article.: Bras-Amoros, Maria; Perez-Roses, Hebert; Miguel Serradilla-Merinero, Jose;
Department: Enginyeria Informàtica i Matemàtiques
e-ISSN: 2073-8994
URV's Author/s: Bras Amoros, Maria / Pérez Rosés, Hebert / Serradilla Merinero, José Miguel
Keywords: Quasi-ordinarization transform Ordinarization transform Numerical semigroup Number Genus Forest
Abstract: 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.
Thematic Areas: 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
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: hebert.perez@urv.cat maria.bras@urv.cat
Author identifier: 0000-0002-3481-004X
Record's date: 2024-07-27
Journal volume: 13
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://www.mdpi.com/2073-8994/13/6/1084
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Symmetry-Basel. 13 (6):
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
Article's DOI: 10.3390/sym13061084
Entity: Universitat Rovira i Virgili
Journal publication year: 2021
Publication Type: Journal Publications
Repositori URV