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

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2021Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 6, pages 13,432-13,447 (issn: 2473-6988, Copyright policy )
Authors: Seok-Zun Song; Ravikumar Bandaru; Young Bae Jun;

doi: 10.3934/math.2021778

Prominent interior GE-filters of GE-algebras

Abstract

<abstract><p>The concept of a prominent interior GE-filter (of type 1 and type 2) is introduced, and their properties are investigated. The relationship between a prominent GE-filter and a prominent interior GE-filter and the relationship between an interior GE-filter and a prominent interior GE-filter are discussed. Examples to show that any interior GE-filter is not a prominent interior GE-filter and any prominent GE-filter is not a prominent interior GE-filter are provided. Conditions for an interior GE-filter to be a prominent interior GE-filter are given. Also, conditions under which an internal GE-filter larger than a given internal GE filter can become a prominent internal GE-filter are considered, and an example describing it is given. The relationship between a prominent interior GE-filter and a prominent interior GE-filter of type 1 is discussed.</p></abstract>

Related Organizations
Keywords

interior ge-filter, ge-filter, Other algebras related to logic, BCK-algebras, BCI-algebras, prominent interior GE-filter (of type 1 and type 2), prominent interior ge-filter (of type 1 and type 2), interior GE-filter, QA1-939, (transitive) GE-algebra, (transitive) ge-algebra, Mathematics, GE-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!
1
Average
Average
Average
gold