Prime and Primary Ideals in a Prüfer Order in a Simple Artinian Ring with Finite Dimension over its Center

Canadian mathematical bulletin

关键词: HNN-extension;    nilpotent groups;    cyclic subgroup separable $(pi_c)$;    residually finite;   

DOI  :  10.4153/CMB-1999-043-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

Let $Q$ be a simple Artinian ring with finite dimension over its center.An order $R$ in $Q$ is said to be {it Pr"ufer/} if any one-sided$R$-ideal is a progenerator. We study prime and primary ideals of aPr"ufer order under the condition that the center is Pr"ufer.Also we characterize branched and unbranched prime ideals of aPr"ufer order.

【 授权许可】

Unknown