Аннотации:
For n ≥ 2 and for a ring R, the notation Pn(R) means that rn - r is nilpotent for all r ∈ R. In this paper, rings R for which Pn(R) holds are completely characterized for any integers n ≥ 2. This answers a question which was raised in [T. Kosan, Y. Zhou, T. Yildirim, Rings with xn - x nilpotent, J. Algebra Appl. 19(4) (2020) 2050065].