Generalized Strongly Increasing Semigroups

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URI: http://hdl.handle.net/10498/25418

DOI: 10.3390/math9121370

ISSN: 2227-7390

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Author/s
García Barroso, E.R.; García García, Juan IgnacioAuthority UCA; Vigneron Tenorio, AlbertoAuthority UCA
Date
2021-06
Department
Matemáticas
Source
Mathematics 2021, 9(12), 1370
Abstract
In this work, we present a new class of numerical semigroups called GSI-semigroups. We see the relations between them and other families of semigroups and we explicitly give their set of gaps. Moreover, an algorithm to obtain all the GSI-semigroups up to a given Frobenius number is provided and the realization of positive integers as Frobenius numbers of GSI-semigroups is studied.
Subjects
generalized strongly increasing semigroup; strongly increasing semigroup; Frobenius number; Apéry set; singular analytic plane curve
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Atribución 4.0 Internacional
This work is under a Creative Commons License Atribución 4.0 Internacional