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Non-Isomorphic Maximal Orders with Isomorphic Matrix Rings

Published online by Cambridge University Press:  20 November 2018

A. W. Chatters*
Affiliation:
School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, UK, email: arthur.chatters@bris.ac.uk
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Abstract

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We construct a countably infinite family of pairwise non-isomorphic maximal $\mathbb{Q}\left[ X \right]$ -orders such that the full 2 by 2 matrix rings over these orders are all isomorphic.

Information

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2000