Measuring primality in numerical semigroups with embedding dimension three

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URI: http://hdl.handle.net/10481/49894
ISSN: 0219-4988
ISSN: 1793-6829
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Author
Chapman, Scott T.; García Sánchez, Pedro Abelardo; Tripp, Z.; Viola, Caterina
Editorial
World Scientific Publishing Company
Materia
Prime element
 
Numerical semigroup
 
ω-function
 
Omega function
 
Date
2016-08-31
Referencia bibliográfica
Chapman, S.T.; et al. Measuring primality in numerical semigroups with embedding dimension three. Journal of Algebra and Its Applications, 15(1): 16500079 (2016). [http://hdl.handle.net/10481/49894]
Sponsorship
The first and third authors received National Science Foundation support under DMS-1262897. The second author is supported by the projects MTM2010-15595, FQM-343, FQM-5849, NSF-1061366 and FEDER funds.
Abstract
In this paper, we find the ω-value of the generators of any numerical semigroup with embedding dimension three. This allows us to determine all possible orderings of the ω-values of the generators. In addition, we relate the ω-value of the numerical semigroup to its catenary degree.
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Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License