18 citations · 40 across the 9 of their papers we have counts for
9 papers
Ideal extensions of free commutative monoids
C. Cisto, P. A. Garcia-Sanchez, D. Llena
We introduce a new family of monoids, which we call gap absorbing monoids. Every gap absorbing monoid is an ideal extension of a free commutative monoid. For a gap absorbing monoid…
Factorization in monoids by stratification of atoms and the Elliott Problem
Pedro A. García-Sánchez, Ulrich Krause, David Llena
In an additive factorial monoid each element can be represented as a linear combination of irreducible elements (atoms) with uniquely determined coefficients running over all natur…
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}…
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…
Delta sets for symmetric numerical semigroups with embedding dimension three
P. A. García-Sánchez, D. Llena, A. Moscariello
This work extends the results known for the Delta sets of non-symmetric numerical semigroups with embedding dimension three to the symmetric case. Thus, we have a fast algorithm to…
On the number of L-shapes in embedding dimension four
F. Aguiló-Gost, P. A. García-Sánchez, D. Llena
\textit{Minimum distance diagrams}, also known as \textit{\textsf{L}--shapes}, have been used to study some properties related to \textit{weighted Cayley digraphs} of \textit{degre…