$ \sigma $-derivations on prime near-rings | Zendy

Ahmed A. M. Kamal | Zendy

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$ \sigma $-derivations on prime near-rings

Author(s) -

Ahmed A. M. 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

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