Geodesic
Disjunctive inclusion property in pseudo-complemented distributive lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 233-244

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Disjunctive inclusion property of several prime ideals and prime filters of pseudo-complemented lattices is studied. Algebraic structures like Boolean algebras and Stone lattices are characterized with the help of the disjunctive inclusion property of prime ideals and prime filters. A set of equivalent conditions is given for every Stone lattice to become a Boolean algebra.
Keywords: disjunctive inclusion property, minimal prime ideal, minimal prime filter, kernel ideal, $\delta $-ideal, Stone lattice, Boolean algebra 
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Sambasiva Rao, M. Disjunctive inclusion property in pseudo-complemented distributive lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 44 (2024) no. 1, pp. 233-244. http://geodesic.mathdoc.fr/item/DMGAA_2024_44_1_a14/