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AIMS Mathematics
Article . 2021 . Peer-reviewed
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AIMS Mathematics
Article
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AIMS Mathematics
Article . 2022
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https://dx.doi.org/10.3934/mat...
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Imploring interior GE-filters in GE-algebras

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 7, pages 855-868 (issn: 2473-6988, Copyright policy )
Authors: Sun Shin Ahn; Ravikumar Bandaru; Young Bae Jun;

doi: 10.3934/math.2022051

Imploring interior GE-filters in GE-algebras

Abstract

<abstract><p>The concept of an imploring interior GE-filter is introduced, and their properties are investigated. The relationship between an interior GE-filter and an imploring interior GE-filter are discussed. Example to show that any interior GE-filter is not an imploring interior GE-filter is provided. Conditions for an interior GE-filter to be an imploring interior GE-filter are given. Examples to show that an imploring interior GE-filter is independent to a belligerent interior GE-filter are provided. Conditions for an imploring interior GE-filter to be a belligerent interior GE-filter are given. The relationship between imploring interior GE-filter and prominent interior GE-filter are discussed. Example to show that any imploring interior GE-filter is not a prominent interior GE-filter is provided. Conditions for an imploring interior GE-filter to be a prominent interior GE-filter are given. Also, conditions under which an interior GE-filter larger than a given interior GE-filter can become an imploring interior GE-filter are considered.</p></abstract>

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Keywords

(pre-transitive) ge-algebra, interior ge-filter, QA1-939, prominent interior ge-filter, ge-filter, Mathematics, imploring interior ge-filter

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selected citations
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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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