On atom-based digraph of a rectangular skew lattice
Authors :
B.R. Bijila 1 * and P. Ramesh Kumar 2
Author Address :
1 Department of Mathematics, Research Centre: University of Kerala, Thiruvananthapuram-695581, Kerala, India.
2 Department of Mathematics, University of Kerala, Kariavattom, Thiruvananthapuram-695581, Kerala, India.
*Corresponding author.
Abstract :
In \cite{nimb} 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.
DOI :
Article Info :
Received : March 21, 2020; Accepted : June 18, 2020.
