Acta Mathematica Vietnamica
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Disjunctive Ideals of Distributive Lattices
M. Sambasiva Rao
Abstract
Disjunctive ideals and strongly disjunctive ideals are introduced in lattices and normal lattices are also characterized in terms of annihilators. Some properties of disjunctive ideals are studied. The concept of normal prime ideals is introduced and their properties are studied. Some equivalent conditions are derived for the class of all strongly disjunctive ideals to become a sublattice of the ideal lattice.