Geodesic
Isomorphisms of general linear groups over associative rings graded by an Abelian group
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 5-40

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In this paper, we give a simpler proof of the Golubchik–Mikhalev–Zelmanov theorem on the structure of isomorphisms between general linear groups over associative rings, and also prove an extension of this theorem for linear groups over rings graded by an Abelian group. 
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     title = {Isomorphisms of general linear groups over associative rings graded by an {Abelian} group},
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     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_3_a0/}
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A. S. Atkarskaya; E. I. Bunina; A. V. Mikhalev. Isomorphisms of general linear groups over associative rings graded by an Abelian group. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 3, pp. 5-40. http://geodesic.mathdoc.fr/item/FPM_2010_16_3_a0/