Compositions of derivations in prime rings

Abstract

In this thesis we review two well-known theorems of E C Posner and their generalizations The first of the two asserts that if the product of two derivations on a prime ring of characteristic not two is a derivation then one of the derivations must be zero and the second says that if d is a nonzero derivation on a prime ring R such that the commutator xd(x)?d(x)x is in the center of R for all x in R then R is commutative

Date of Award	2014 Jul 5
Original language	English
Supervisor	Wen-Fong Ke (Supervisor)