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Search: MSC category 16L30 ( Noncommutative local and semilocal rings, perfect rings )

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1. CMB 2002 (vol 45 pp. 448)

Zhou, Yiqiang
Erratum: A Characterization of Left Perfect Rings
An error in {\it A characterization of left perfect rings}, Canad. Math. Bull. (3) {\bf 38}(1995), 382--384, is indicated and the consequences identified.

Category:16L30

2. CMB 1999 (vol 42 pp. 371)

Marubayashi, H.; Ueda, A.
Prime and Primary Ideals in a Prüfer Order in a Simple Artinian Ring with Finite Dimension over its Center
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 a Pr\"ufer order under the condition that the center is Pr\"ufer. Also we characterize branched and unbranched prime ideals of a Pr\"ufer order.

Categories:16H05, 16L30

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