Additive maps having a generalized derivation expansion
Journal
Journal of Algebra and its Applications
Journal Volume
14
Journal Issue
4
Date Issued
2015
Author(s)
Abstract
Let R be a prime ring with extended centroid C. We prove that an additive map from R into RC + C can be characterized in terms of left and right b-generalized derivations if it has a generalized derivation expansion. As a consequence, a generalization of the Noether–Skolem theorem is proved among other things: A linear map from a finite-dimensional central simple algebra into itself is an elementary operator if it has a generalized derivation expansion.
Type
journal article