• DUAL PSUEDO-COMPLEMENTED ALMOST DISTRIBUTIVE LATTICES
Abstract
The concept of a dual pseudo-complemented Almost Distributive Lattice is introduced. Necessary and sufficient conditions for an Almost Distributive Lattice to become a dual pseudo-complemented Almost Distributive Lattice are derived. It is proved that a dual pseudo-complemented Almost Distributive Lattice is equationally definable. A one to one correspondence between the set of all dual pseudo-complementations on an ADL and the set of all maximal elements of is obtained. Also proved that the set is a Boolean algebra.
Keywords
Almost Distributive Lattice; Maximal element; Principal ideal; Dual pseudo-complementation.
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