Almost symmetric numerical semigroups with high type

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URI: http://hdl.handle.net/10481/59292
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Author
García Sánchez, Pedro Abelardo; Ojeda, Ignacio
Editorial
Scientific and Technical Research Council of Turkey
Materia
Numerical semigroup
 
Almost symmetric numerical semigroup
 
Frobenius number
 
Pseudo-Frobenius number
 
Genus
 
Type
 
Date
2019
Referencia bibliográfica
Garcia-Sanchez, P. A., & Ojeda, I. (2019). Almost symmetric numerical semigroups with high type. Turkish Journal of Mathematics, 43(5), 2499-2510.
Sponsorship
The first author was partially supported by the Junta de Andalucía research group FQM-366, and by the project MTM2017-84890-P (MINECO/FEDER, UE). The second author was partially supported by the research groups FQM-024 (Junta de Extremadura/FEDER funds) and by the project MTM2015-65764-C3-1-P (MINECO/FEDER, UE) and by the project MTM2017-84890-P (MINECO/FEDER, UE).
Abstract
We establish a one-to-one correspondence between numerical semigroups of genus g and almost symmetric numerical semigroups with Frobenius number F and type F − 2g , provided that F is greater than or equal to 4g − 1.
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Atribución 3.0 España
Except where otherwise noted, this item's license is described as Atribución 3.0 España