ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS

Abstract

In this paper, we introduced the notion of symmetric biderivations
on lattice implication algebra and investigated some related
properties. Also, we characterized the FixD(L), and KerD(L)
by symmetric bi-derivations. Additionally, we proved that if D is a
symmetric bi-derivation of a lattice implication algebra, every lter
F is D-invariant.

Keywords

• lattice implication algebras,derivation,self-distributive,lter,normal lter,KerD,FixD

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