  In this paper we discuss the properties of the biordered set obtained from a
complemented modular lattice and defines an operation using the sandwich
elements of the biordered set. Further we describe a biordered subset
satisfying certain conditions, so that the complemented modular lattice admits
a homogeneous basis. Finally analogous to von Neumann coordinatization theorem
we describe the coordinatization theorem for complemented modular lattice using
the biordered set of idempotents.
