Balint Rago

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math.AC2024

The ramification tree and almost Dedekind domains of prescribed SP-rank

Balint Rago, Dario Spirito

Given a valuation $v$ with quotient field $K$ and a sequence $K : K_{0} \subseteq K_{1} \subseteq \dots$ of finite extensions of $K$ , we construct a weighted tree $\mathcal{T}(v…

math.AC2024

A realization theorem for almost Dedekind domains

Balint Rago, Dario Spirito

An integral domain $D$ 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…