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Discussiones Mathematicae - General Algebra and Applications
Article . 2025 . Peer-reviewed
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Discussiones Mathematicae - General Algebra and Applications
Article . 2025
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Article . 2025
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On coaxial filters of almost distributive lattices

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2025 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae - General Algebra and Applications, volume 45, page 17 (issn: 1509-9415, eissn: 2084-0373, Copyright policy )
Authors: Noorbhasha Rafi; Mukkamala Sambasiva Rao;

doi: 10.7151/dmgaa.1470

On coaxial filters of almost distributive lattices

Abstract

Summary: In an Almost Distributive Lattice (ADL), coaxial filters and strongly coaxial filters are presented, and various characterization theorems of dually normal ADLs are given in terms of dual annihilators. Several characteristics of ADL coaxial filters are investigated. The concept of normal prime filters is presented, and its features are examined. For the class of all strongly coaxial filters to become a sublattice of the filter lattice, some equivalent conditions are derived.

Keywords

Distributive lattices, Pseudocomplemented lattices, filter, dually normal ADL, dual annihilator, coaxial filter, QA1-939, normal prime filter, Mathematics, strongly coaxial filter

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Published in a Diamond OA journal