21 citations · 29 across the 8 of their papers we have counts for
11 papers
Distances between factorizations in the Chicken McNugget monoid
Scott Chapman, Pedro Garcia-Sanchez, Christopher O'Neill
We use the Chicken McNugget monoid to demonstrate various factorization properties related to relations and chains of factorizations. We study in depth the catenary and tame degree…
Patterns on Numerical Semigroups
Maria Bras-Amorós, Pedro García-Sánchez
We introduce the notion of pattern for numerical semigroups, which allows us to generalize the definition of Arf numerical semigroups. In this way infinitely many other classes of…
Wilf's conjecture in fixed multiplicity
Winfried Bruns, Pedro Garcia-Sanchez, Christopher O'Neill +1
We give an algorithm to determine whether Wilf's conjecture holds for all numerical semigroups with a given multiplicity , and use it to prove Wilf's conjecture holds whenever $…
Critical binomial ideals of Norhtcott type
P. A. García-Sánchez, D. Llena, I. Ojeda
In this paper, we study a family of binomial ideals defining monomial curves in the dimensional affine space determined by hypersurfaces of the form $x_i^{c_i} - x_1^{u_{i1…
Canonical bases of modules over one dimensional k-algebras
A Abbas, A Assi, Pedro A Garcıa-Sánchez
Let K be a field and denote by K[t], the polynomial ring with coefficients in K. Set A = K[f1,. .. , fs], with f1,. .. , fs K[t]. We give a procedure to calculate the monoid…
On the second Feng-Rao distance of Algebraic Geometry codes related to Arf semigroups
J. I. Farrán, P. A. García-Sánchez, B. A. Heredia
We describe the second (generalized) Feng-Rao distance for elements in an Arf numerical semigroup that are greater than or equal to the conductor of the semigroup. This provides a…