Derivations, products of derivations, and commutativity in near-rings
Articles > Article · 2001
Authors: HOWARD BELL, Nurcan ARGAÇ
ALGEBRA COLLOQUIUM, Journal Indexed in SCI Expanded, International, 2001, vol 8, pp 399-407
Summary
For a zero-symmetric 3-prime near-ring N, we study three kinds of conditions: (a) conditions involving two derivations d(1), d(2) which imply that d(1) = 0 or d(2) = 0; (b) conditions involving derivations which force (N, +) to be abelian or N to be a commutative ring; (c) the condition that d(n)(S) is multiplicatively central for some derivation d and subset S of N.