Additive derivations of incidence algebras
Érica Z. Fornaroli, Roger Emanuel Moraes Pezzott · Communications in Algebra · 2020
In this paper, we present necessary and sufficient conditions for an additive derivation of an incidence algebra of a connected finite partially ordered set X to be inner. These conditions are related to the structure of X as a directed graph and can be applied for finite partially ordered sets that are not connected or even for some that are not finite.