Abstract
Let be integral domains. Suppose is Noetherian and is a finitely generated -algebra. Denote by the integral closure of in . We show that is determined by finitely many unique discrete valuation rings. Our result generalizes Rees’ classical valuation theorem for ideals. We also obtain a variant of Zariski’s main theorem.
Citation
Antoni Rangachev. "A Valuation Theorem for Noetherian Rings." Michigan Math. J. 73 (4) 843 - 851, August 2023. https://doi.org/10.1307/mmj/20206022
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