Automorphisms of the endomorphism algebra of a free module

被引：5
|
作者：
Courtemanche, Jordan [1 ]
Dugas, Manfred [1 ]
机构：
[1] Baylor Univ, Dept Math, One Bear Pl 97828, Waco, TX 76798 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 510卷
关键词：
Free modules; Endomorphisms; Automorphisms; Local automorphisms;
D O I：
10.1016/j.laa.2016.08.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R be a commutative ring with identity 1 is an element of R and V a free R-module of arbitrary rank. Let End(R)(V) denote the R-algebra of all R-linear endomorphisms of V. We show that all R-algebra automorphisms of End(R)(V) are inner if R is a Bezout domain. We also consider 2-local automorphisms of End(R)(V). (C) 2016 Elsevier Inc. All rights reserved.
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页码：79 / 91
页数：13
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