Article ID Journal Published Year Pages File Type
8895799 Journal of Algebra 2018 7 Pages PDF
Abstract
Let D be a division ring with characteristic different from 2. In this paper we will describe an additive map f satisfying the identity f(x)y+xf(y)=l for every x,y∈D such that xy=a, where l,a∈D and a is nonzero. Additionally, for nonzero m,k∈D, we will describe the additive bijection f satisfying the identity f(x)f(y)=m for every x,y∈D such that xy=k; this description is the solution to a problem posed by Chebotar, Ke, Lee, and Shiao in 2005.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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