Abstract
In this paper we investigate the functional identity in a prime associative superalgebras. We prove the following result. Suppose that there exists a nonzero additive mapping f = f0 + f1, on a prime associative superalgebra with char(R) ≠ 2, satisfying the relation [f (x), y2] = 0 for all x, y ∈ ℋ(). If
is prime algebra then [f (), ] = 0 or [, ] = 0.
0 is prime algebra then [f (), ] = 0 and [, 0] = 0 or A is trivial. More- over, if C1 = 0 then f0(1) = 0 and f1(0) = 0.