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Results 1 - 3 of 3 |
1. CMB 2000 (vol 43 pp. 413)
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Non-Isomorphic Maximal Orders with Isomorphic Matrix Rings We construct a countably infinite family of pairwise non-isomorphic
maximal ${\mathbb Q}[X]$-orders such that the full $2$ by $2$
matrix rings over these orders are all isomorphic.
Categories:16S50, 16H05, 16N60 |
2. CMB 1999 (vol 42 pp. 298)
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Semigroup Algebras and Maximal Orders We describe contracted semigroup algebras of Malcev nilpotent
semigroups that are prime Noetherian maximal orders.
Categories:16S36, 16H05, 20M25 |
3. CMB 1999 (vol 42 pp. 371)
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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 |