O-ideals in Almost Distributive Lattices
Keywords:
Almost Distributive Lattice(ADL), O-ideal, α-ideal, *-ADLAbstract
Concept of -ideals is introduced in an Almost Distributive Lattice and these
-ideals are characterized in terms of minimal prime ideals. A necessary and sufficient condition for the zero ideal of an ADL to become an
-ideal is derived.
-ADLs are characterized in terms of their
-ideals and
-ideals. Finally, a set of equivalent conditions are established for every
-ideal of an ADL to become a principal ideal.
