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math.AC2021
Almost Dedekind domains without radical factorization
Dario Spirito
We study almost Dedekind domains with respect to the failure of ideals to have radical factorization, that is, we study how to measure how far an almost Dedekind domain is from bei…
math.AC2021
The polynomial closure is not topological
Giulio Peruginelli, Dario Spirito
We characterize the polynomial closure of a pseudo-convergent sequence in a valuation domain of arbitrary rank, and then we use this result to show that the polynomial closure…
math.AC2021
The derived sequence of a pre-Jaffard family
Dario Spirito
We introduce the concept of \emph{pre-Jaffard family}, a generalization of Jaffard families obtained by substituting the locally finite hypothesis with a much weaker compactness hy…