Let be an arbitrary partially ordered set, be a commutative ring with identity and be the finitary incidence algebra of over . Under some natural assumption on , we prove that each Lie-type derivation of is proper, which partially generalizes the main results of Zhang and Khrypchenko (2017), Wang and Xiao (2019), and Xiao and Yang (2019).
"Lie-type derivations of finitary incidence algebras." Rocky Mountain J. Math. 50 (1) 163 - 175, Febuary 2020. https://doi.org/10.1216/rmj.2020.50.163