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.

引用

页码：79 / 91

页数：13

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