Isomorphisms of general linear groups over associative rings graded by an Abelian group

A. S. Atkarskaya; E. I. Bunina; A. V. Mikhalev

doi:https://doi.org/10.1007/s10958-011-0509-1

Isomorphisms of general linear groups over associative rings graded by an Abelian group

A. S. Atkarskaya, E. I. Bunina, A. V. Mikhalev

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	774-800
Number of pages	27
Journal	Journal of Mathematical Sciences
Volume	177
Issue number	6
DOIs	https://doi.org/10.1007/s10958-011-0509-1
State	Published - Sep 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
Statistics and Probability
General Mathematics

Access to Document

https://doi.org/10.1007/s10958-011-0509-1

Cite this

@article{861dcf5d0ae04eb6acdba28455ff91a5,

title = "Isomorphisms of general linear groups over associative rings graded by an Abelian group",

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.",

author = "Atkarskaya, {A. S.} and Bunina, {E. I.} and Mikhalev, {A. V.}",

year = "2011",

month = sep,

doi = "https://doi.org/10.1007/s10958-011-0509-1",

language = "الإنجليزيّة",

volume = "177",

pages = "774--800",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "6",

}

TY - JOUR

T1 - Isomorphisms of general linear groups over associative rings graded by an Abelian group

AU - Atkarskaya, A. S.

AU - Bunina, E. I.

AU - Mikhalev, A. V.

PY - 2011/9

Y1 - 2011/9

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=80052356381&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s10958-011-0509-1

DO - https://doi.org/10.1007/s10958-011-0509-1

M3 - مقالة

SN - 1072-3374

VL - 177

SP - 774

EP - 800

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

IS - 6

ER -

Isomorphisms of general linear groups over associative rings graded by an Abelian group

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this