Article ID Journal Published Year Pages File Type
6416471 Linear Algebra and its Applications 2014 7 Pages PDF
Abstract

Let D be a division ring and let Mn(D) be the ring of all n×n matrices over D with center Z, where n⩾2 is an integer. We describe the additive map f:Mn(D)→Mn(D) such that f(x)x−xf(x)∈Z for all invertible (singular) x∈Mn(D).

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Centralizing maps on invertible or singular matrices over division rings
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