Geodesic
On the structure of the special linear groups over Laurent polynomial rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1111-1114 
V. I. Kopeiko. On the structure of the special linear groups over Laurent polynomial rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 4, pp. 1111-1114. http://geodesic.mathdoc.fr/item/FPM_1995_1_4_a21/
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Voir la notice de l'article provenant de la source Math-Net.Ru

In this note we prove the following result. Let $C$ be a regular ring such that $\mathrm{SK}(C)=0$. Then the groups $SL_r\bigl(C\bigl[[T_1,\ldots,T_m]\bigr] \left[X_1^{\pm1},\ldots,X_n^{\pm 1},Y_1,\ldots,Y_s\right]\bigr)$ are generated by elementary matrices for all integers $r\geq\max(3,\dim C+2)$.

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