A Study on the Lattice of Convex Sublattices of S(Bn)

Abstract

The concept of 0-Supermodular lattices was introduced in the thesis of J.Arivukkarasu which appeared in the paper[1]. He proved there that the lattices S(B_n) and S(D) are 0-Supermodular. In this paper, we prove that the lattice of convex sublattices of S(B_n) with respect to the new ordering defined by S.Lavanya and S.ParameshwaraBhatta[7], is 0-Supermodular.