5 citations · 11 across the 12 of their papers we have counts for
12 papers
On the automorphisms of numerical power monoids
Anwita Bhowmik, Salvatore Tringali
Let be a numerical monoid, that is, a cofinite submonoid of (the non-negative integers under addition). Denote by the monoid obtained…
Power Semigroups and Two Rigidity Theorems for Groups
Shuolin Liu, Salvatore Tringali
Let be the semigroup obtained by endowing the family of all non-empty subsets of a semigroup with the setwise operation naturally induced by on its power se…
On the automorphisms of the power semigroups of a numerical semigroup
Salvatore Tringali, Kerou Wen
If is a numerical semigroup (that is, a cofinite subset of the non-negative integers closed under addition), then the non-empty subsets of form a semigroup …
Power monoids and their arithmetic: a survey
Salvatore Tringali
The non-empty finite subsets of a multiplicatively written monoid form a monoid under setwise multiplication. The same holds for finite subsets containing the identity element. Par…
Torsion groups and the Bienvenu--Geroldinger conjecture
Salvatore Tringali, Weihao Yan
Equipped with the operation of setwise multiplication induced by a (multiplicatively written) monoid on its parts, the collection of all finite subsets of containing the id…
On global isomorphisms and a closure property of semigroups
Lingxi Li, Salvatore Tringali
Let be a semigroup (written multiplicatively). Endowed with the operation of setwise multiplication induced by on its parts, the non-empty subsets of form themselves a…
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 of all non-empty finite subsets of …
On the arithmetic of power monoids
Laura Cossu, Salvatore Tringali
Given a monoid (written multiplicatively), the family of all non-empty finite subsets of containing the identity element is itself a…
The Category of Atomic Monoids: Universal Constructions and Arithmetic Properties
Federico Campanini, Laura Cossu, Salvatore Tringali
We introduce and investigate the category of atomic monoids and atom-preserving monoid homomorphisms, which is a (non-full) subcategory of the usual category of m…
Semigroups of ideals and isomorphism problems
Pedro A. Garcia-Sanchez, Salvatore Tringali
Let be a monoid (written multiplicatively). We call Archimedean if, for all such that is a non-unit, there is an integer with ; stro…
On the isomorphism problem for power semigroups
Salvatore Tringali
Let be the semigroup obtained by equipping the family of all non-empty subsets of a (multiplicatively written) semigroup with the operation of setwise multiplic…
On power monoids and their automorphisms
Salvatore Tringali, Weihao Yan
Endowed with the binary operation of set addition, the family of all finite subsets of containing forms a monoid, with the sin…