N-prime spectrum of stone Almost Distributive Lattices
Copyright policy )N-prime spectrum of stone Almost Distributive Lattices
Introduced the notions of annulets and π© -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the π© -filters. Derived that every proper π© -filter is the intersection of all π© -prime filters containing it and also proved that the set β±π© (L) of all π© -filters is isomorphic to the class ConE(L) of all G-extentions of L. Given some topological properties of the space of all π© -prime filters. Derived a necessary and sufficient condition for the space of all π© -prime filters to be a Hausdorff space.
filter, isomorphism, stone adl, almost distributive lattice (adl), 06d15, annulet, π© -filters, hausdorff space, QA1-939, ideal, compact set, 06d99, Mathematics
filter, isomorphism, stone adl, almost distributive lattice (adl), 06d15, annulet, π© -filters, hausdorff space, QA1-939, ideal, compact set, 06d99, Mathematics
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