On Coherent Almost Distributive Lattices

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DOI: https://doi.org/10.28924/2291-8639-24-2026-119
Published: Apr 20, 2026
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Noorbhasha Rafi, Chudamani Ramineni, Ravikumar Bandaru, Thiti Gaketem, On Coherent Almost Distributive Lattices, Int. J. Anal. Appl., 24 (2026), 119.

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Noorbhasha Rafi, Chudamani Ramineni, Ravikumar Bandaru, Thiti Gaketem

Abstract

The connection between coherent ADLs and other structures, including generalized Stone ADLs, moderately complemented ADLs, quasi-complemented ADLs, and normal ADLs, is examined. Coherent ADLs are presented as a separate class of ADLs. To determine when a subADL of a certain ADL demonstrates coherence, criteria are created. Conditions for intervals inside an ADL to be regarded as coherent subADLs are also described. The properties pertaining to filters and dense elements are also used in the study to characterize coherent ADLs.

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