Dual L−Almost Distributive Lattices
Keywords:
Almost Distributive Lattice(ADL), Principal ideal, Dual Heyting Almost Distributive Lattice(Dual H−ADL), Dual L−Algebra, Dual L−Almost Distributive Lattice (Dual L−ADL)Abstract
In this paper, the concept of a dual -Almost Distributive Lattice (Dual
-ADL) is introduced as a generalization of a dual
-algebra. Different necessary and sufficient conditions for an ADL to become a dual
-ADL are derived. It is proved that every dual
-ADL is a dual Stone Almost Distributive Lattice as well as a dually Normal Almost Distributive Lattice. A dual
-ADL is characterized in terms of its principal ideals and prime ideals.
