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

Authors

  • G. Sheeba Merlin Department of Mathematics, Karunya University, Coimbatore, India
  • A. Vethamanickam Department of Mathematics, Rani Anna College for Women, Tirunelveli, India

Keywords:

Lattices, Convex Sublattices, Dual Simplicial Lattices, Eulerian Lattices

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.

Author Biography

  • A. Vethamanickam, Department of Mathematics, Rani Anna College for Women, Tirunelveli, India
    Department of Mathematics, Rani Anna College for Women, Tirunelveli, India

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Published

2017-07-11

Issue

Vol. 10 No. 4: (July 2017)

Section

Algebra

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How to Cite

On the Lattice of Convex Sublattice of S(Bn) and S(Cn). (2017). European Journal of Pure and Applied Mathematics, 10(4), 916-928. https://www.ejpam.com/index.php/ejpam/article/view/3009