In lattice theory the two well known equational class of lattices are the distributive lattices and the modular lattices. All distributive lattices are modular however a modular lattice in general is not distributive.
In this book, new classes of lattices called supermodular lattices and semi-supermodular lattices are introduced and characterized as follows: A subdirectly irreducible supermodular lattice is isomorphic to the two element chain lattice C2 or the five element modular lattice M3. A lattice L is supermodular if and only if L is a subdirect union of a two element chain C2 and the five element modular lattice M3.
Educational Publisher Inc., Ohio
lattice theory, supermodular lattices, neutrosophic theory
Iqbal Unnisa, W.B. Vasantha Kandasamy, F. Smarandache. Supermodular Lattices. Ohio: Educational Publisher Inc. , 2012.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Share Alike 4.0 International License.