Abstract
The basic idea of triple representation of a structure is to associate two simpler structures and a connecting map. Triple representation was first introduced by Chen and Gratzer to Stone Lattices (2), (3). The concept was gen- eralised to distributive pseudo-complemented lattices and then to distributive pseudo-complemented semilattices by Katrinak. The triple representation for modular Pseudo Complemented semilattice was suceeded by W.H.Cornish(4). Now the triple representation was obtained for a supermodular semilattice and thereby the supermodular semilattices are characterised.
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