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Stably Free Modules Over Rings of Generalised Integer Quaternions

Stably Free Modules Over Rings of Generalised Integer Quaternions

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 …