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We describe all linear maps $f:N_r\rightarrow N_r$ satisfying $[f(A),A]\inZ(N_r)$ for every $A\in N_r$ where $N_r$ denotes the algebra of $r\times r$strictly upper triangular matrices with entries in a field $F$ with center$Z(N_r)$.

Centralizing maps on the ring of strictly upper triangular matrices