Certain functional identities on division rings of characteristic two
Journal
Journal of Algebra
Journal Volume
657
Start Page
363-378
ISSN
0021-8693
Date Issued
2024-11
Author(s)
Abstract
Let D be a noncommutative division ring. In a recent paper, Lee and Lin proved that if charD≠2, the only solution of additive maps f,g on D satisfying the identity f(x)=xng(x−1) on D∖{0} with n≠2 a positive integer is the trivial case, that is, f=0 and g=0. Applying Hua's identity and the theory of functional and generalized polynomial identities, we give a complete solution of the same identity for any nonnegative integer n if charD=2.
SDGs
Publisher
Elsevier BV
Type
journal article