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What is Lattice of Convex Sublattices in Eulerian Lattices about?
This paper discusses the lattice of convex sublattices of a finite lattice L, defining convex sublattices and exploring their properties. It proves that the lattice of convex sublattices of a Boolean algebra Bn is a dual simplicial Eulerian lattice, while the structure of convex sublattices in non-Boolean Eulerian lattices remains unclear. The authors build on previous research to investigate the connections between L and its convex sublattices, particularly in the context of Eulerian lattices.
- Author
- rsubbarayan2010
- Language
- EN