2 citations · 3 across the 7 of their papers we have counts for
7 papers
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…
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…
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…
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…
The ramification tree and almost Dedekind domains of prescribed SP-rank
Balint Rago, Dario Spirito
Given a valuation with quotient field and a sequence of finite extensions of , we construct a weighted tree $\mathcal{T}(v…
A realization theorem for almost Dedekind domains
Balint Rago, Dario Spirito
An integral domain is called an SP-domain if every ideal is a product of radical ideals. Such domains are always almost Dedekind domains, but not every almost Dedekind domain i…
A characterization of half-factorial orders in algebraic number fields
Balint Rago
We give an algebraic characterization of half-factorial orders in algebraic number fields. This generalizes prior results for seminormal orders and for orders in quadratic number f…