4 papers
math.CO2026
The isomorphism problem for reduced finitary power monoids
Balint Rago
Let be a multiplicatively written monoid with identity and let denote the reduced finitary power monoid of , that is, the monoid consis…
math.CO2025
The automorphism group of reduced power monoids of finite abelian groups
Balint Rago
Let be an additively written monoid and let denote the reduced power monoid of , that is, the monoid consisting of all subsets of containing wit…
math.AC2025
A counterexample to an isomorphism problem for power monoids
Balint Rago
Let be a (multiplicatively written) monoid. The family of finite subsets of containing the identity element is itself a monoid when endowed…
math.AC2024
A characterization of transfer Krull orders in Dedekind domains with torsion class group
Balint Rago
We establish a characterization (under some natural conditions) of those orders in Dedekind domains which allow a transfer homomorphism to a monoid of zero-sum sequences. As a cons…