Sums of square-zero endomorphisms of a free module

被引：3
|
作者：
Shitov, Yaroslav [1 ]
机构：
[1] Natl Res Univ, Higher Sch Econ, 20 Myasnitskaya Ulitsa, Moscow 101000, Russia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 507卷
关键词：
Ring theory; Free module; Square-zero endomorphism; MATRICES;
D O I：
10.1016/j.laa.2016.06.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R be an associative ring with unity and let M be a free right R-module of infinite rank. We prove that any endomorphism of M can be written as a sum of four square-zero endomorphisms. This result is optimal. (C) 2016 Elsevier Inc. All rights reserved.
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页码：191 / 197
页数：7
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