IJPAM: Volume 91, No. 4 (2014)

NEUTRAL OPERATORS AND TRIPLE REPRESENTATION

J. Vimala
Department of Mathematics
Alagappa University
Karaikudi, Tamilnadu, INDIA


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 generalised 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.

Received: November 20, 2013

AMS Subject Classification: 06, 06B

Key Words and Phrases: semilattice, modularlattice, supermodular, closure operator

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DOI: 10.12732/ijpam.v91i4.4 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2014
Volume: 91
Issue: 4