ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

Abstract

In this paper, we introduced the notion of symmetric biderivationson lattice implication algebra and investigated some relatedproperties. Also, we characterized the FixD(L), and KerD(L)by symmetric bi-derivations. Additionally, we proved that if D is asymmetric bi-derivation of a lattice implication algebra, every lterF is D-invariant.