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Honam Mathematical Journal
Article . 2010 . Peer-reviewed
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BCK/BCI-ALGEBRAS WITH PSEUDO-VALUATIONS

Authors: Myung-Im Doh; Min-Su Kang;

BCK/BCI-ALGEBRAS WITH PSEUDO-VALUATIONS

Abstract

Using the Buneag's model ([1, 2, 3]), the notion of pseudo-valuations (valuations) on a -algebra is introduced, and a pseudo-metric is induced by a pseudo-valuation on -algebras. Based on the notion of (pseudo) valuation, we show that the binary operation in -algebras is uniformly continuous.

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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).
    6
    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.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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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!
6
Average
Top 10%
Average
gold