Geodesic
N-Prime Spectrum of Stone Almost Distributive Lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 2, pp. 299-320

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Introduced the notions of annulets and 𝒩-filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the 𝒩-filters. Derived that every proper 𝒩-filter is the intersection of all 𝒩-prime filters containing it and also proved that the set ℱ_𝒩(L) of all 𝒩-filters is isomorphic to the class Con_E(L) of all G-extentions of L. Given some topological properties of the space of all 𝒩-prime filters. Derived a necessary and sufficient condition for the space of all 𝒩-prime filters to be a Hausdorff space.
Keywords: Almost Distributive Lattice (ADL), stone ADL, ideal, filter, annulet, isomorphism, compact set, Hausdorff space, N-filters 
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     title = {N-Prime {Spectrum} of {Stone} {Almost} {Distributive} {Lattices}},
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Rafi, N.; Bandaru, Ravi Kumar; Srujana, M. N-Prime Spectrum of Stone Almost Distributive Lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 2, pp. 299-320. http://geodesic.mathdoc.fr/item/DMGAA_2021_41_2_a6/