2 citations · 4 across the 4 of their papers we have counts for
5 papers
The Buchweitz set of a numerical semigroup
S. Eliahou, J. I. García-García, D. Marín-Aragón +1
Let be a finite subset. We denote by the set of all integers such that , where denotes the…
On reducible non-Weierstrass semigroups
J. I. García-García, D. Marín-Aragón, F. Torres +1
Weierstrass semigroups are well-known along the literature. We present a new family of non-Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups.…
An extension of Wilf's conjecture to affine semigroups
J. I. García-García, D. Marín-Aragón, A. Vigneron-Tenorio
Let $\CaC\subset \Q^p$ be a rational cone. An affine semigroup $S\subset \CaC$ is a $\CaC$-semigroup whenever $(\CaC\setminus S)\cap \N^p$ has only a finite number of elements. In…
On divisor-closed submonoids and minimal distances in finitely generated monoids
J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías
We study the lattice of divisor-closed submonoids of finitely generated cancellative commutative monoids. In case the monoid is an affine semigroup, we give a geometrical character…
A characterization of some families of Cohen--Macaulay, Gorenstein and/or Buchsbaum rings
Juan Ignacio García-García, Daniel Marín-Aragón, Alberto Vigneron-Tenorio
We provide algorithmic methods to check the Cohen--Macaulayness, Buchsbaumness and/or Gorensteiness of some families of semigroup rings that are constructed from the dilation of bo…