Abstract
Let be a locally finite pre-ordered set and be a commutative ring with unity. In this paper we apply the theory of zero product determined algebras to show that each linear map on the incidence algebra which is derivable at zero is a generalized derivation and every local derivation on is a derivation.
2020 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgments
We are sincerely thankful to the referees for their careful reading of the manuscript and their valuable comments and suggestions.