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Stably Free Modules Over Rings of Generalised Integer Quaternions

Published online by Cambridge University Press:  20 November 2018

A. W. Chatters  and
M. M. Parmenter
A. W. Chatters
Affiliation:
School of Mathematics, University Walk, Bristol BS8 1TW, England
M. M. Parmenter
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7
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Abstract

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In this note, we obtain, in a rather easy way, examples of stably free non-free right ideals. We also give an example of a stably free non-free two-sided ideal in a maximal ℤ-order. These are obtained as applications of a theorem giving necessary and sufficient conditions for H/nH to be a complete 2 x 2 matrix ring, when H is a generalised quaternion ring.

Keywords

16D2516D4016H0516S50
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 38 , Issue 4 , 01 December 1995 , pp. 408 - 411
Copyright
Copyright © Canadian Mathematical Society 1995

References

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