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BCK/BCI-ALGEBRAS WITH PSEUDO-VALUATIONS
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  • Journal title : Honam Mathematical Journal
  • Volume 32, Issue 2,  2010, pp.217-226
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2010.32.2.217
 Title & Authors
BCK/BCI-ALGEBRAS WITH PSEUDO-VALUATIONS
Doh, Myung-Im; Kang, Min-Su;
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 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.
 Keywords
(Weak, Positive) pseudo-valuation (Positive) valuation Pseudo-metric induced by pseudo-valuation;
 Language
English
 Cited by
1.
Commutative Pseudo Valuations on BCK-Algebras, International Journal of Mathematics and Mathematical Sciences, 2011, 2011, 1  crossref(new windwow)
2.
Commutative pseudo-equality algebras, Soft Computing, 2016  crossref(new windwow)
 References
1.
C. Busneag, Valuations on residuated lattices, An. Univ. Craiova Ser. Mat. Inform. 34 (2007), 21-28.

2.
D. Busneag, Hilbert algebras with valuations, Math. Japon. 44 (1996), 285-289.

3.
D. Busneag, On extensions of pseudo-valuations on Hilbert algebras, Discrete Math. 263 (2003), 11-24. crossref(new window)

4.
Y. S. Huang, BCI-algebra, Science Press, China (2006).

5.
J. Meng, Y. B. Jun, BCK-algebras, Kyungmoon Sa Co., Seoul (1994).