Let X be a finite connected poset and F a field. Denote by I(X,F) the incidence algebra of X over F. We describe bijective linear maps from I(X,F) to I(X,F) which preserve k-potency, where k is a fixed integer greater than 1. The case k=2 (idempotent preservers) is treated for arbitrary F, while for k>2 some restrictions on the characteristic of F are needed. This is a joint work [1] with Jorge J. Garcés (Universidad Politécnica de Madrid).

[1] Garcés, J. J., and Khrypchenko, M. Potent preservers of incidence algebras. Linear Algebra Appl. 635 (2022), 171-200.