Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
49
1
2007
Generalized Derivations with Commutativity and Anti-commutativity Conditions
EN
Howard E.
Bell
Nadeem-ur
Rehman
<p>Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0;
(iii) F(x) Ο F(y) = x Ο y .</p>
No potential conflict of interest relevant to this article was reported.