Abstract
Let R be a prime ring with extended centroid C and two-sided Martindale quotient ring Q. Let d be a nonzero derivation of R, f(x 1,…, x n ) a multilinear polynomial over C, b ∈ R, and I a nonzero right ideal of R. Suppose that
(i) d = ad(a) for some a ∈ Q such that aI = 0 and f(x 1,…, x n ) k+1 is central- \p000valued on eRCe;
(ii) f(x 1,…, x n ) is central-valued in eRCe;
(iii) dim C eRCe = 4 and char R = 2.
ACKNOWLEDGMENTS
The author is very grateful to the referee for pointing out a gap in the original manuscript.
Notes
Communicated by M. Bresar.