Abstract

Let P be an arbitrary partially ordered set, R be a commutative ring with identity and FI(P,R) be the finitary incidence algebra of P over R. Under some natural assumption on R, we prove that each Lie-type derivation of FI(P,R) is proper, which partially generalizes the main results of Zhang and Khrypchenko (2017), Wang and Xiao (2019), and Xiao and Yang (2019).

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