On atom-based digraph of a rectangular skew lattice

B.R. Bijila; P. Ramesh Kumar

doi:10.26637/MJM0803/0049

Abstract

In [8] Nimbhorkar and Borsarkar introduced the notion of atom based graph of a lattice. Here we introduce this notion to skew lattices and show that the atom-based digraph of a finite rectangular skew lattice is a complete symmetric digraph and vice versa. Some results on the direct product of atom-based digraphs of rectangular skew lattices are also given.

Keywords:

Rectangular skew lattice, atom-based digraph, direct product of digraph

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

B.R. Bijila Department of Mathematics, Research Centre: University of Kerala, Thiruvananthapuram-695581, Kerala, India.
P. Ramesh Kumar Department of Mathematics, University of Kerala, Kariavattom, Thiruvananthapuram-695581, Kerala, India. https://orcid.org/0000-0001-5540-8618

Pages: 1022-1025
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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