Automorphisms of prime rings that acts as derivations or anti-derivations
Authors :
Gurninder S. Sandhu1,2 *
Author Address :
1 Department of Mathematics, Patel Memorial National College, Rajpura, Punjab-140401, India.
2 Department of Mathematics, Punjabi University, Patiala, Punjab-147002, India.
*Corresponding author.
Abstract :
A well-known result of Bell and Kappe cite{Bell1} states that there exists no non-zero derivation of a prime ring that acts as a homomorphism or as an anti-homomorphism. In opposite sense one may think of the endomorphisms of prime rings that act as derivations or anti-derivations. In the present paper, it is proved that there exists no automorphism of a prime ring that acts as a derivation or an anti-derivation.
Keywords :
Automorphism, Prime ring, Derivation, Generalized polynomial identity.
DOI :
Article Info :
Received : September 07, 2018; Accepted : December 23, 2018.
