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Stably Free Modules Over Rings of Generalised Integer Quaternions
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 1995
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