Geodesic
Closure Operators on Complete Almost Distributive Lattices-III
Bulletin of the Section of Logic, Tome 44 (2015) no. 1-2

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In this paper, we prove that the lattice of all closure operators of a complete Almost Distributive Lattice L with fixed maximal element m is dual atomistic. We define the concept of a completely meet-irreducible element in a complete ADL and derive a necessary and sufficient condition for a dual atom of Φ(L) to be complemented.
Keywords: Complete Almost Distributive Lattice, Closure operator, Dual atom, Dual atomistic, Completely meet-irreducible element 
@article{BSL_2015_44_1-2_a3,
     author = {Rao, Calyampudi Radhakrishna and Undurthi, Venugopalam},
     title = {Closure {Operators} on {Complete} {Almost} {Distributive} {Lattices-III}},
     journal = {Bulletin of the Section of Logic},
     publisher = {mathdoc},
     volume = {44},
     number = {1-2},
     year = {2015},
     url = {http://geodesic.mathdoc.fr/item/BSL_2015_44_1-2_a3/}
}
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Rao, Calyampudi Radhakrishna; Undurthi, Venugopalam. Closure Operators on Complete Almost Distributive Lattices-III. Bulletin of the Section of Logic, Tome 44 (2015) no. 1-2. http://geodesic.mathdoc.fr/item/BSL_2015_44_1-2_a3/