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: 2023-08-05

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: http://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