Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895799 | Journal of Algebra | 2018 | 7 Pages |
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,yâD such that xy=a, where l,aâD and a is nonzero. Additionally, for nonzero m,kâD, we will describe the additive bijection f satisfying the identity f(x)f(y)=m for every x,yâD such that xy=k; this description is the solution to a problem posed by Chebotar, Ke, Lee, and Shiao in 2005.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Louisa Catalano,