Geodesic
Prime and Primary Ideals in a Prüfer Order in a Simple Artinian Ring with Finite Dimension over its Center
Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 371-379

Voir la notice de l'article provenant de la source Cambridge University Press

Let $Q$ be a simple Artinian ring with finite dimension over its center. An order $R$ in $Q$ is said to be Prüfer if any one-sided $R$ -ideal is a progenerator. We study prime and primary ideals of a Prüfer order under the condition that the center is Prüfer. Also we characterize branched and unbranched prime ideals of a Prüfer order.
DOI : 10.4153/CMB-1999-043-7
Mots-clés : 16H05, 16L30 
Marubayashi, H.; Ueda, A. Prime and Primary Ideals in a Prüfer Order in a Simple Artinian Ring with Finite Dimension over its Center. Canadian mathematical bulletin, Tome 42 (1999) no. 3, pp. 371-379. doi: 10.4153/CMB-1999-043-7
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     journal = {Canadian mathematical bulletin},
     pages = {371--379},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1999-043-7/}
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