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math.AC2024★ 1 cited
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…
math.AC2024
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…
math.AC2024
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…