I. Ojeda

activity

20082023

most citedUniquely presented finitely generated commutative monoids

36 citations · 142 across the 20 of their papers we have counts for

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Showing 2021Show all

3 papers · 1 filter

math.AC2021

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 ${a_{1}, a_{2}, \dots} \subset N$ such that $a_{1}$ is the repunit number in base $b > 1$ of leng…

math.AC2021★ 4 cited

Minimal binomial systems of generators for the ideals of certain monomial curves

Manuel B. Branco, Isabel Colaço, Ignacio Ojeda

Let $a, b$ and $n > 1$ be three positive integers such that $a$ and $\sum_{j = 0}^{n - 1} b^{j}$ are relatively prime. In this paper, we prove that the toric ideal $I$ associated to the…

math.CA2021

Rational Solutions of Abel Differential Equations

J. L. Bravo, L. A. Calderon, M. Fernandez +1

We study the rational solutions of the Abel equation $x^{'} = A (t) x^{3} + B (t) x^{2}$ where $A, B \in C [t]$ . We prove that if $d e g (A)$ is even or $d e g (B) > (d e g (A) - 1) /2$ then the equation has at m…