Geodesic
Stably Free Modules Over Rings of Generalised Integer Quaternions
Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 408-411

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DOI

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.
DOI : 10.4153/CMB-1995-059-5
Mots-clés : 16D25, 16D40, 16H05, 16S50 
Chatters, A. W.; Parmenter, M. M. Stably Free Modules Over Rings of Generalised Integer Quaternions. Canadian mathematical bulletin, Tome 38 (1995) no. 4, pp. 408-411. doi: 10.4153/CMB-1995-059-5
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     author = {Chatters, A. W. and Parmenter, M. M.},
     title = {Stably {Free} {Modules} {Over} {Rings} of {Generalised} {Integer} {Quaternions}},
     journal = {Canadian mathematical bulletin},
     pages = {408--411},
     year = {1995},
     volume = {38},
     number = {4},
     doi = {10.4153/CMB-1995-059-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-059-5/}
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