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Fundamentalnaya i Prikladnaya Matematika, 2010, Volume 16, Issue 3, Pages 5–40
(Mi fpm1318)
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Isomorphisms of general linear groups over associative rings graded by an Abelian group
A. S. Atkarskaya, E. I. Bunina, A. V. Mikhalev M. V. Lomonosov Moscow State University
Abstract:
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.
Citation:
A. S. Atkarskaya, E. I. Bunina, A. V. Mikhalev, “Isomorphisms of general linear groups over associative rings graded by an Abelian group”, Fundam. Prikl. Mat., 16:3 (2010), 5–40; J. Math. Sci., 177:6 (2011), 774–800
Linking options:
https://www.mathnet.ru/eng/fpm1318 https://www.mathnet.ru/eng/fpm/v16/i3/p5
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Statistics & downloads: |
Abstract page: | 470 | Full-text PDF : | 196 | References: | 59 | First page: | 2 |
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