Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two

Autor: M. A. Moreno-Frías, José Carlos Rosales

Publikováno v: Symmetry, Vol 13, Iss 5, p 794 (2021)

Let S and T be two numerical semigroups. We say that T is an I(S)-semigroup if T∖{0} is an ideal of S. Given k a positive integer, we denote by Δ(k) the symmetric numerical semigroup generated by {2,2k+1}. In this paper we present a formula which

Externí odkaz: https://doaj.org/article/cf8dd0fe28634715b8da9dc87d16b717

Numerical semigroups bounded by the translation of a plane monoid

Autor: M. A. Moreno-Frías, José Carlos Rosales

Publikováno v: Aequat. Math. (2021)
RODIN. Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádiz
instname
Digibug. Repositorio Institucional de la Universidad de Granada

M. A. Moreno-Frias: Partially supported by MTM2017-84890-P and by Junta de Andalucia group FQM-298. J. C. Rosales: Partially supported by MTM2017-84890-P and by Junta de Andalucia group FQM-343.
Let N be the set of nonnegative integer numbers. A

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1a0568986bdf8ae94ca6db1d82613e6
http://hdl.handle.net/10481/70534

On divisor-closed submonoids and minimal distances in finitely generated monoids

Autor: D. Marín-Aragón, M. A. Moreno-Frías, Juan Ignacio García-García

Publikováno v: Journal of Symbolic Computation. 93:230-245

We study the lattice of divisor-closed submonoids of finitely generated cancellative commutative monoids. In case the monoid is an affine semigroup, we give a geometrical characterization of such submonoids in terms of its cone. Finally, we use our r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bb5e8dd7e368ffe1f652ad3142447e75
https://doi.org/10.1016/j.jsc.2018.06.008

Semigroups with fixed multiplicity and embedding dimension

Autor: D. Marín-Aragón, M. A. Moreno-Frías, Juan Ignacio García-García, José Carlos Rosales, Alberto Vigneron-Tenorio

Publikováno v: UVaDOC. Repositorio Documental de la Universidad de Valladolid
Consejo Superior de Investigaciones Científicas (CSIC)
Digibug. Repositorio Institucional de la Universidad de Granada
instname
Ars mathematica contemporanea
Ars Mathematica Contemporanea 17 (2019) 397–417
RODIN. Repositorio de Objetos de Docencia e Investigación de la Universidad de Cádiz

Producción Científica
Given m ∈ N, a numerical semigroup with multiplicity m is called a packed numerical semigroup if its minimal generating set is included in {m, m + 1, . . . , 2m − 1}. In this work, packed numerical semigroups are used

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::77f7ce954c0dff43d8412fe1db870089
http://uvadoc.uva.es/handle/10324/40809

Computation of the ω-primality and asymptotic ω-primality with applications to numerical semigroups

Autor: M. A. Moreno-Frías, Juan Ignacio García-García, Alberto Vigneron-Tenorio

Publikováno v: Israel Journal of Mathematics. 206:395-411

We give an algorithm to compute the ω-primality of finitely generated atomic monoids. Asymptotic ω-primality is also studied and a formula to obtain it in finitely generated quasi-Archimedean monoids is proven. The formulation is applied to numeric

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::08900edfc89858106a0ea9fc685a0c60
https://doi.org/10.1007/s11856-014-1144-6