σ-Convex Sub-lattice in a 0-1 Distributive Lattice

Yi-hui ZHANG, Miao-lin WU, Kun-lun ZHANG

Abstract


The notion of a σ-convex sub-lattice in a 0-1 distributive lattice is introduced and studied. Certain classes of 0-1 distributive lattices such as complemented lattices are characterized by using the properties of σ-convex sub-lattices. Stable convex sub-lattices are defined and a necessary and sufficient condition for a σ-convex sub-lattice to be stable is given.

Keywords


0-1 Distributive lattice, Convex sub-lattice, σ-convex sub-lattice, Complemented lattice


DOI
10.12783/dtcse/cece2017/14472

Refbacks

  • There are currently no refbacks.