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arxiv: 1707.07505 · v1 · pith:5ASWRPTBnew · submitted 2017-07-24 · 🧮 math.AC

Towards a classification of stable semistar operations on a Pr\"ufer domain

classification 🧮 math.AC
keywords domainoperationssemistaruferdefinedeverystableclassification
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We study stable semistar operations defined over a Pr\"ufer domain, showing that, if every ideal of a Pr\"ufer domain $R$ has only finitely many minimal primes, every such closure can be described through semistar operations defined on valuation overrings of $R$.

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