21 citations · 37 across the 3 of their papers we have counts for
4 papers
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…
The short resolution of a semigroup algebra
Ignacio Ojeda, Alberto Vigneron-Tenorio
This work generalizes the short resolution given in Proc. Amer. Math. Soc. \textbf{131}, 4, (2003), 1081--1091, to any affine semigroup. Moreover, a characterization of Apéry sets…
Indispensable binomials in semigroup ideals
Ignacio Ojeda, Alberto Vigneron-Tenorio
In this paper, we deal with the problem of uniqueness of minimal system of binomial generators of a semigroup ideal. Concretely, we give different necessary and/or sufficient condi…
Simplicial complexes and minimal free resolution of monomial algebras
Ignacio Ojeda, A. Vigneron-Tenorio
This paper is concerned with the combinatorial description of the graded minimal free resolution of certain monomial algebras which includes toric rings. Concretely, we explicitly…