Dario Spirito
Abstract
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We characterize when the Zariski space 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 Zarmin(L|D) of its minimal elements are Noetherian spaces.
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We characterize when the Zariski space 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 Zarmin(L|D) of its minimal elements are Noetherian spaces.
Key concepts: Integrally closed, Noetherian, Mathematics, Integral domain, Pure mathematics, Space (punctuation), Field (mathematics), Domain (mathematical analysis)