12 citations · 12 across the 4 of their papers we have counts for
5 papers · 1 filter
The arithmetic extensions of a numerical semigroup
Ignacio Ojeda, José Carlos Rosales
In this paper we introduce the notion of extension of a numerical semigroup. We provide a characterization of the numerical semigroups whose extensions are all arithmetic and we gi…
Binomial ideals and congruences on
Laura Felicia Matusevich, Ignacio Ojeda
A \emph{congruence} on is an equivalence relation on that is compatible with the additive structure. If is a field, and is a \emph{binomia…
On pseudo-Frobenius elements of submonoids of
J. I. García-García, I. Ojeda, J. C. Rosales +1
In this paper we study those submonoids of which a non-trivial pseudo-Frobenius set. In the affine case, we prove that they are the affine semigroups whose associate…
Almost symmetric numerical semigroups with given Frobenius number and type
M. B. Branco, I. Ojeda, J. C. Rosales
We give two algorithmic procedures to compute the whole set of almost symmetric numerical semigroups with fixed Frobenius number and type, and the whole set of almost symmetric num…
Critical binomial ideals of Norhtcott type
P. A. García-Sánchez, D. Llena, I. Ojeda
In this paper, we study a family of binomial ideals defining monomial curves in the dimensional affine space determined by hypersurfaces of the form $x_i^{c_i} - x_1^{u_{i1…