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When the Zariski space is a Noetherian space
Published 23 Jul 2018 in math.AC and math.GN | (1807.08645v2)
Abstract: We characterize when the Zariski space $\mathrm{Zar}(K|D)$ (where $D$ is an integral domain, $K$ is a field containing $D$ and $D$ is integrally closed in $K$) and the set $\mathrm{Zar_{min}}(L|D)$ of its minimal elements are Noetherian spaces.
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