Automorphisms of prime rings that acts as derivations or anti-derivations

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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 :

10.26637/MJM0701/0003

Article Info :

Received : September 07, 2018; Accepted : December 23, 2018.

 

 

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