Abstract
Let n be a positive integer with Let X be a locally finite preordered set, R a commutative ring with unity and I(X, R) the incidence algebra of X over R. We prove in this article that every Lie n-derivation of I(X, R) is proper provided that R is 2-torsion free and
-torsion free, which gives a positive answer for a conjecture by Wang and Xiao. see [Lie triple derivations of incidence algebras. Commun. Algebra, 47(5): 1841-1852.]
2010 Mathematics Subject Classification: