Isabel Colaço

most citedMinimal binomial systems of generators for the ideals of certain monomial curves

4 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2023

Minimal free resolution of generalized repunit algebras

Isabel Colaço, Ignacio Ojeda

Let $k$ be an arbitrary field and let $b > 1, n > 1$ and $a$ be three positive integers. In this paper we explicitly describe a minimal $S -$ graded free resolution of the semigr…

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…