Let be a semiprime ring with center and extended centroid . For a fixed integer ≥ 2, the trace of a permuting -additive mapping is defined as for all ∈ . The notion of permuting -derivation was introduced by Park J. Chungcheong Math. Soc. 22 (2009), no.3, 451–458 as follows: a permuting -additive mapping is said to be permuting -derivation if A permuting -additive mapping is known to be a permuting generalized -derivation if there exists a permuting -derivation such that The main result of this paper states that if is a nonzero ideal of a semiprime ring and is a permuting -derivation such that and for all ∈ , where δ is the trace of Δ, then contains a nonzero central ideal. Furthermore, some related results are also proven.