On symmetric f bi-derivations of lattices

Abstract

Recently Ozbal and Firat [22] introduced the notion of symmetric f bi-derivation of a lattice. They give illustrative examples and they also characterized the distributive lattice by symmetric f bi-derivation. In this paper we define the isotone symmetric f biderivation and get some interesting results about isotoneness. We also give the relations between the distributive, modular and isotone lattices by symmetric f bi-derivation.