Salvatore Tringali

collaborators

5 papers

math.RA2025

On global isomorphisms and a closure property of semigroups

Lingxi Li, Salvatore Tringali

Let $S$ be a semigroup (written multiplicatively). Endowed with the operation of setwise multiplication induced by $S$ on its parts, the non-empty subsets of $S$ form themselves a…

math.CO2025

The Automorphism Group of the Finitary Power Monoid of the Integers under Addition

Salvatore Tringali, Kerou Wen

Endowed with the binary operation of set addition carried over from the integers, the family $P_{fin} (Z)$ of all non-empty finite subsets of $Z$ …

math.RA2025

On the arithmetic of power monoids

Laura Cossu, Salvatore Tringali

Given a monoid $H$ (written multiplicatively), the family $P_{fin, 1} (H)$ of all non-empty finite subsets of $H$ containing the identity element $1_{H}$ is itself a…

math.RA2025

The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties

Federico Campanini, Laura Cossu, Salvatore Tringali

We introduce and investigate the category $AtoMon$ of atomic monoids and atom-preserving monoid homomorphisms, which is a (non-full) subcategory of the usual category of m…

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…