Article ID Journal Published Year Pages File Type
4598559 Linear Algebra and its Applications 2016 7 Pages PDF
Abstract

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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Sums of square-zero endomorphisms of a free module
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