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arxiv: 0906.4505 · v1 · submitted 2009-06-24 · 🧮 math.AC

On valuation rings

classification 🧮 math.AC
keywords valuationringconditionsfinitelygeneratedinvestigatemodulenecessary
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In this paper we provide necessary and sufficient conditions for $ R=A\propto E $ to be a valuation ring where $E$ is a non-torsion or finitely generated $A-$module. Also, we investigate the $ (n,d) $ property of the valuation ring.

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