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Centralizing maps on the ring of strictly upper triangular matrices

Published 9 Jan 2023 in math.RA | (2301.03422v2)

Abstract: We describe all linear maps $f:N_r\rightarrow N_r$ satisfying $[f(A),A]\in Z(N_r)$ 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 $Z(N_r)$.

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