Article in press
Authors:
Title:
ON COAXIAL FILTERS OF ALMOST DISTRIBUTIVE LATTICES
PDFSource:
Discussiones Mathematicae - General Algebra and Applications
Received: 2023-08-09 , Revised: 2023-11-28 , Accepted: 2023-11-28 , Available online: 2025-02-18 , https://doi.org/10.7151/dmgaa.1470
Abstract:
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:
dual annihilator; coaxial filter;dually normal ADL
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