Topological Characterization of α-Filters in Paradistributive Latticoids

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DOI: https://doi.org/10.28924/2291-8639-24-2026-194
Published: Jun 22, 2026
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Satyanarayana Rao Kola, G. Nanaji Rao, Noorbhasha Rafi, Ramesh Sirisetti, Thiti Gaketem, Topological Characterization of α-Filters in Paradistributive Latticoids, Int. J. Anal. Appl., 24 (2026), 194.

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Satyanarayana Rao Kola, G. Nanaji Rao, Noorbhasha Rafi, Ramesh Sirisetti, Thiti Gaketem

Abstract

We study topological properties of the space of prime \(\alpha\)-filters of a paradistributive latticoid. Using the hull-kernel topology we characterize compactness, separation axioms (\(T_{0},T_{1}\), Hausdorff), and relate minimality of prime \(\alpha\)-filters to topological properties. Several equivalent conditions for minimality are obtained and relationships to annulets and direct factors are discussed. Examples and consequences for various classes of latticoids are indicated.

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