Grupo: Semigrupos Conmutativos (FQM343)
https://hdl.handle.net/10481/41331
2024-03-29T05:45:33Z
2024-03-29T05:45:33Z
Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio
Robles Pérez, Aureliano M.
Rosales González, Joisé Carlos
https://hdl.handle.net/10481/90041
2024-03-18T07:38:51Z
Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio
Robles Pérez, Aureliano M.; Rosales González, Joisé Carlos
We characterise the numerical semigroups with a monotone Apéry set (MANSsemigroups for short). Moreover, we describe the families ofMANS-semigroups when we fix the multiplicity and the ratio.
The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number
Robles Pérez, Aureliano M.
Rosales González, José Carlos
https://hdl.handle.net/10481/81834
2023-05-25T11:18:33Z
The extended Frobenius problem for Fibonacci sequences incremented by a Fibonacci number
Robles Pérez, Aureliano M.; Rosales González, José Carlos
We study the extended Frobenius problem for sequences of the form {fa+fn}n∈N, where {fn}n∈N is the Fibonacci sequence and fa is a Fibonacci number. As a consequence of this study, we show that the family of numerical semigroups associated with these sequences satisfies Wilf’s conjecture.
A Frobenius problem suggested by prime k-tuplets
Robles Pérez, Aureliano M.
Rosales González, José Carlos
https://hdl.handle.net/10481/80403
2023-03-06T07:39:01Z
A Frobenius problem suggested by prime k-tuplets
Robles Pérez, Aureliano M.; Rosales González, José Carlos
We study the Frobenius problem for certain k-tuplets, which include prime k-tuplets. Moreover, we analyze some properties of the numerical semigroups associated with these tuplets.
When the catenary degree agrees with the tame degree in numerical semigroups of embedding dimension three
García Sánchez, Pedro Abelardo
Viola, Caterina
https://hdl.handle.net/10481/49961
2021-06-15T13:28:10Z
When the catenary degree agrees with the tame degree in numerical semigroups of embedding dimension three
García Sánchez, Pedro Abelardo; Viola, Caterina
We characterize numerical semigroups of embedding dimension three having the same catenary and tame degrees.
Measuring primality in numerical semigroups with embedding dimension three
Chapman, Scott T.
García Sánchez, Pedro Abelardo
Tripp, Z.
Viola, Caterina
https://hdl.handle.net/10481/49894
2021-06-15T13:28:11Z
Measuring primality in numerical semigroups with embedding dimension three
Chapman, Scott T.; García Sánchez, Pedro Abelardo; Tripp, Z.; Viola, Caterina
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.
Electronic version of an article published as Journal of Algebra and Its Applications, 15, 1, 2016, 1650007. DOI:10.1142/S0219498816500079 © World Scientific Publishing Company https://www.worldscientific.com/doi/abs/10.1142/S0219498816500079