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 language | English |
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Pages (from-to) | 37-46 |
Number of pages | 10 |
Journal | Filomat |
Volume | 26 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2012 |
Keywords
- (BCK, BCC, strong BCC)-pseudo-valuation
- BCK/BCC-valuation
- Pseudo-metric induced by BCK-pseudo-valuation
- Weak pseudo-valuation