Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: S. M. BUCKLEY and D. MACHALE
Pages: [107] - [129]
Received Date: January 24, 2012
Submitted by:
A result of Herstein says in particular that, if there exists
such that 
for all x in a ring R, then
R is commutative. We give an elementary proof of this fact for
certain values of n, based on the theory of centrifiers which
we develop. For 
we also give an elementary proof of the
commutativity of rings R such that 
for all 
ring commutativity conditions, polynomial identities.
