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AIMS Mathematics
Article . 2024 . Peer-reviewed
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AIMS Mathematics
Article . 2024
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An introduction to the theory of OBCI-algebras

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2024Publisher:American Institute of Mathematical Sciences (AIMS)Journal:AIMS Mathematics, volume 9, pages 36,336-36,350 (issn: 2473-6988, Copyright policy )
Authors: Eunsuk Yang; Eun Hwan Roh; Young Bae Jun;

doi: 10.3934/math.20241723

An introduction to the theory of OBCI-algebras

Abstract

<p>The purpose of this paper was to introduce the concept of "OBCI-algebras" as a partially ordered generalization of BCI-algebras. The notion of OBCI-algebras was introduced, and related properties were investigated. The notions of OBCI-subalgebras and (closed) OBCI-filters of OBCI-algebras were defined and the relationship between the OBCI-subalgebras and OBCI-filters was discussed. In addition, the direct product OBCI-algebra was discussed, and the OBCI-filter related to it was also addressed.</p>

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Keywords

filter, obci-subalgebra, subalgebra, QA1-939, obci-algebra, (closed) obci-filter, Mathematics

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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!
2
Top 10%
Average
Average
gold