Comaximizable Primes

Abstract

Let ${P_1}, \ldots ,{P_n}\left ( {n \geq 2} \right )$ be not necessarily distinct nonzero prime ideals in the Noetherian, but not Henselian, domain $R$. We show that there is a finitely generated integral extension domain $T$ of $R$, containing distinct, pairwise comaximal prime ideals ${Q_1}, \ldots ,{Q_n}$ lying over ${P_1}, \ldots ,{P_n}$ respectively.

Locations

• Proceedings of the American Mathematical Society - View - PDF