Title of article :
SYMMETRIC BI-T-DERIVATION OF LATTICES
Author/Authors :
JANA, C Department of Applied Mathematics with Oceanology and Computer Programming - Vidyasagar University - Midnapore, India , HAYAT, K Department of Mathematics and Information Sciences - Guangzhou University - Guangzhou, China , PAL, M Department of Applied Mathematics with Oceanology and Computer Programming - Vidyasagar University - Midnapore, India
Abstract :
In this paper, the notion of a new kind of derivation is introduced for a lattice
(L, ∨, ∧), called symmetric bi-T-derivations on L as a generalization of derivation of lattices
and characterized some of its related properties. Some equivalent conditions provided for a
lattice L with greatest element 1 by the notion of isotone symmetric bi-T-derivation on L.
By using the concept of isotone derivation, we characterized the modular and distributive
lattices by the notion of isotone symmetric bi-T-derivation on L.
Keywords :
Lattice , Derivation of lattice , Symmetric bi-T-derivation of lattice , Modular lattice and Distributive lattice
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
