Open Access$ \sigma $-derivations on prime near-rings
Author(s) -
Asmaa Kamal
Publication year - 2001
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.32.2001.349
Subject(s) - mathematics , prime (order theory) , sigma , multiplicative function , commutative property , pure mathematics , ring (chemistry) , commutative ring , discrete mathematics , combinatorics , mathematical analysis , physics , chemistry , organic chemistry , quantum mechanics
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