36 citations · 142 across the 20 of their papers we have counts for
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math.AC2020★ 3 cited
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…
math.AC2020★ 2 cited
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…
math.CO2020
On decomposable and reducible integer matrices
Carlos Marijuán, Ignacio Ojeda, Alberto Vigneron-Tenorio
We propose necessary and sufficient conditions for an integer matrix to be decomposable in terms of its Hermite normal form. Specifically, to each integer matrix of maximal row ran…