On the Lattice of Convex Sublattice of S(Bn) and S(Cn)

G. Sheeba Merlin, A. Vethamanickam

Abstract

In this paper  we prove that $CS[S(B_n)]$ and $CS[S(C_n)]$ are Eulerian lattices under the set inclusion relation but they are neither simplicial nor dual simplicial.

Keywords

Lattices, Convex Sublattices, Dual Simplicial Lattices, Eulerian Lattices

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