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math.AC2018
Inside factorial monoids and the cale monoid of a single Diophantine equation
Pedro A. García-Sánchez, Ulrich Krause, David Llena
We give a structure theorem for inside factorial domains. As an example we study the monoid of nonnegative integer solutions of equations of the form $a_1x_1+\cdots +a_{r-1}x_{r-1}…
math.AC2017
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…
math.AC2015★ 8 cited
Delta sets for numerical semigroups with embedding dimension three
Pedro A. García-Sánchez, David Llena, Alessio Moscariello
We present a fast algorithm to compute the Delta set of a nonsymmetric numerical semigroups with embedding dimension three.