Ideals of a Distributive Lattice with Respect to a Closure Operator
Mukkamala Sambasiva Rao · International Journal of Mathematics and Soft Computing · 2012
In this paper Quasi-complemented lattices are characterized in terms of dominator ideals. A closure operator is introduced on the ideal lattice and with the help of this operator the concept of closure ideals is introduced and then these ideals are characterized. Further, a one-to-one correspon-dence between the class of all prime closure ideals of a lattice and the ideal lattice of the lattice of all dominator ideals is established.