BCC-algebras with pseudo-valuations

Young Bae Jun, Sun Shin Ahn, Eun Hwan Roh

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

The notion of pseudo-valuations (valuations) on a BCC-algebra is introduced by using the Bus ̧neag's model ([1-3]), and a pseudo-metric is induced by a pseudo-valuation on BCC-algebras. Conditions for a real-valued function to be an BCK-pseudo-valuation are provided. The fact that the binary operation in BCC-algebras is uniformly continuous is provided based on the notion of (pseudo) valuation.

Original languageEnglish
Pages (from-to)37-46
Number of pages10
JournalFilomat
Volume26
Issue number2
DOIs
StatePublished - Apr 2012

Keywords

  • (BCK, BCC, strong BCC)-pseudo-valuation
  • BCK/BCC-valuation
  • Pseudo-metric induced by BCK-pseudo-valuation
  • Weak pseudo-valuation

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