Generalized symmetric bi-derivations on posets

Source abstract

Abstract The key objective of the present paper is to initiate the study of generalized symmetric bi-derivations on posets. Additionally, several characterization theorems for generalized symmetric bi-derivations are given. Moreover, the properties of the fixed points based on the generalized symmetric bi-derivations are examined. Finally, the properties of ideals and operations related to generalized symmetric bi-derivations are studied.