On <i>n</i> -Derivations Of Posets

Let n ≥ 2 be a fixed integer. The aim of this paper is to initiate the study of n-derivations on posets. Additionally, several characterization theorems on n-derivations are given. Moreover, the properties of the fixed points based on the n-derivations are examined. Finally, the properties of ideals and operations related to n-derivations are studied.