论文标题
Noetherian戒指的估值定理
A valuation theorem for Noetherian rings
论文作者
论文摘要
令A和B为积分域。假设a是noetherian，而b是一个有限生成的a-elgebra，包含A.用a的“ A中的积分闭合。我们的结果概括了Rees的理想经典评估定理。我们还获得了Zariski的主要定理的变体。
Let A and B be integral domains. Suppose A is Noetherian and B is a finitely generated A-algebra that contains A. Denote by A' the integral closure of A in B. We show that A' 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.
