- Gazi University Journal of Science
- Vol: 30 Issue: 1
- ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS
ON SYMMETRIC BI-DERIVATIONS OF LATTICE IMPLICATION ALGEBRAS
Authors : Şule Özbal, Öncül Altındağ, Yong Ho Yon
Pages : 431-441
View : 8 | Download : 6
Publication Date : 2017-03-14
Article Type : Other
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