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Search: MSC category 16H05 ( Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) )

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1. CMB 2000 (vol 43 pp. 413)

Chatters, A. W.
 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)

Jespers, Eric; Okniński, Jan
 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)

Marubayashi, H.; Ueda, A.
 Prime and Primary Ideals in a PrÃ¼fer 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