SYMMETRIC BI-T-DERIVATION OF LATTICES

C. Jana, K. Hayat, M. Pal

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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.