(ζ1,ζ2)-Derivations of incidence algebras

In this paper, we introduce the notion of [Formula: see text]-derivations of incidence algebras [Formula: see text] over a field [Formula: see text], where [Formula: see text] is a locally finite poset, and [Formula: see text], [Formula: see text] are arbitrary automorphisms of [Formula: see text]. We characterize these derivations, demonstrating that they can be decomposed as those observed in usual derivations and skew derivations of incidence algebras [Formula: see text].