Symmetric (f, g) bi-derivations of lattices

Abstract

In this paper as a generalization of symmetric bi-derivations and symmetric f bi-derivations of a lattice, we introduce the notion of symmetric (f, g) bi-derivations of a lattice. If the function g is equal to the function f then the symmetric (f, g) bi-derivation is the symmetric f bi-derivation defined in [18]. Also if we choose the functions f and g the identity functions both then the derivation we define coincides with the derivation defined in [9].