Dual L−Almost Distributive Lattices
G. C. Rao, Naveen Kumar Kakumanu · 2012
In this paper, the concept of a dual L− Almost Distributive Lattice (Dual L−ADL) is introduced as a generalization of a dual L− algebra. Different necessary and sufficient conditions for an ADL to become a dual L−ADL are derived. It is proved that every dual L−ADL is a dual Stone Almost Distributive Lattice as well as a dually Normal Almost Distributive Lattice. A dual L−ADL is characterized in terms of its principal ideals and prime ideals.