$ \sigma $-derivations on prime near-rings

Authors

  • Ahmed A. M. Kamal

DOI:

https://doi.org/10.5556/j.tkjm.32.2001.349

Abstract

The literatrue on near-rings contains a number of theorems asserting that certain conditions implying commutativity in rings imply multiplicative or additive commutativity in special classes of near-rings. H. E. Bell and G. Mason in [2] added to this body of results several commutativity theorems for near-rings admitting suitably-constrained derivations. In this paper we generalize some of their results to a subclass of prime near-rings admitting suitably-constrained $ \sigma $-derivations, where $ \sigma $ is an automorphibm of the prime near-ring.

Author Biography

Ahmed A. M. Kamal

Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.

Published

2001-06-30

How to Cite

Kamal, A. A. M. (2001). $ \sigma $-derivations on prime near-rings. Tamkang Journal of Mathematics, 32(2), 89-93. https://doi.org/10.5556/j.tkjm.32.2001.349

Issue

Section

Papers