Pedro A. García-Sánchez

collaborators

2 papers

math.RA2024

Semigroups of ideals and isomorphism problems

Pedro A. Garcia-Sanchez, Salvatore Tringali

Let $H$ be a monoid (written multiplicatively). We call $H$ Archimedean if, for all $a, b \in H$ such that $b$ is a non-unit, there is an integer $k \geq 1$ with $b^{k} \in H a H$ ; stro…

math.AC2023

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…