24 citations · 43 across the 12 of their papers we have counts for
3 papers · 1 filter
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}…
Isolated factorizations and their applications in simplicial affine semigroups
Pedro A. García-Sánchez, Andrés Herrera-Poyatos
We introduce the concept of isolated factorizations of an element of a commutative monoid and study its properties. We give several bounds for the number of isolated factorizations…
The tree of numerical semigroups with low multiplicity
P. A. García-Sánchez, D. Marín-Aragón, A. M. Robles-Pérez
We show that the number of numerical semigroups with multiplicity three, four or five and fixed genus is increasing as a function in the genus. To this end we use the Kunz polytope…