• 제목/요약/키워드: (Weak, Positive) pseudo-valuation (Positive) valuation Pseudo-metric induced by pseudo-valuation

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BCK/BCI-ALGEBRAS WITH PSEUDO-VALUATIONS

  • Doh, Myung-Im;Kang, Min-Su
    • 호남수학학술지
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    • 제32권2호
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    • pp.217-226
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    • 2010
  • Using the Bu$\c{s}$neag's model ([1, 2, 3]), the notion of pseudo-valuations (valuations) on a ${\mathbf{BCK/BCI}}$-algebra is introduced, and a pseudo-metric is induced by a pseudo-valuation on ${\mathbf{BCK/BCI}}$-algebras. Based on the notion of (pseudo) valuation, we show that the binary operation in ${\mathbf{BCK/BCI}}$-algebras is uniformly continuous.