Interior GE-Filters of GE-Algebras

Interior GE-Filters of GE-Algebras

The notions of an interior GE-filter, a weak interior GE-filter and a belligerent interior GE-filter are introduced, and their relations and properties are investigated. Example of a GE-filter which is neither an interior GE-filter nor a weak interior GE-filter is provided. Relations between a weak...

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Bibliographic Details
Main Authors: Song Seok-Zun, Bandaru Ravikumar, Romano Daniel A., Jun Young Bae
Format: Article
Language:English
Published: University of Zielona Góra 2022-03-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
(transitive, left exchangeable) ge-algebra
ge-filter
belligerent ge-filter
(weak) interior ge-filter
belligerent interior ge-filter (of type 1, type 2 and type 3)
03g25
06f35
Online Access:https://doi.org/10.7151/dmgaa.1385
Description
Summary:The notions of an interior GE-filter, a weak interior GE-filter and a belligerent interior GE-filter are introduced, and their relations and properties are investigated. Example of a GE-filter which is neither an interior GE-filter nor a weak interior GE-filter is provided. Relations between a weak interior GE-filter and an interior GE-filter are discussed, and conditions under which every weak interior GE-filter is an interior GE-filter are investigated. Relations between a belligerent interior GE-filter and an interior GE-filter are displayed, and conditions for an interior GE-filter to be a belligerent interior GE-filter are considered. Given a subset and an element, an interior GE-filter is established, and conditions for a subset to be a belligerent interior GE-filter are discussed. The extensibility of the beligerant interior GE-filter is debated. Relationships between weak interior GE-filter and belligerent interior GE-filter of type 1, type 2 and type 3 are founded.
ISSN:2084-0373

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