Abstract: We consider the conditions in case that a n-centralizing mapping in a simiprime ring is n-commuting. By using linearization in an additive subgroup of R whice is closed under squares, we conclude that with suitably-restricted additive torsion, for d aderivation in a semiprime ring R, if d_k is n-centralizing on U, an additive subgroup of R closed under squares, then it must be n-commuting o n U.

Key words: semiprime, derivation, centralizing mapping