36 citations · 142 across the 20 of their papers we have counts for
23 papers
On the depth of simplicial affine semigroup rings
Raheleh Jafari, Ignacio Ojeda
We recall and delve into the different characterizations of the depth of an affine semigroup ring, providing an original characterization of depth two in three and four dimensional…
Universally free numerical semigroups
Ignacio García Marco, Pedro A. García-Sánchez, Ignacio Ojeda +1
A numerical semigroup is said to be universally free if it is free for any possible arrangement of its minimal generating set. In this work, we establish that toric ideals associat…
The Frobenius problem for generalized repunit numerical semigroups
Manuel B. Branco, Isabel Colaço, Ignacio Ojeda
In this paper, we introduce and study the numerical semigroups generated by such that is the repunit number in base of leng…
Minimal binomial systems of generators for the ideals of certain monomial curves
Manuel B. Branco, Isabel Colaço, Ignacio Ojeda
Let and be three positive integers such that and are relatively prime. In this paper, we prove that the toric ideal associated to the…
Rational Solutions of Abel Differential Equations
J. L. Bravo, L. A. Calderon, M. Fernandez +1
We study the rational solutions of the Abel equation where . We prove that if is even or then the equation has at m…
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…