10 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…
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…
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 …
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…