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http://dx.doi.org/10.11568/kjm.2019.27.1.131

PSEUDO-METRIC ON KU-ALGEBRAS  

Koam, Ali N.A. (Department of Mathematics, College of Science Post Box 2097 New Campus, Jazan University)
Haider, Azeem (Department of Mathematics, College of Science Post Box 2097 New Campus, Jazan University)
Ansari, Moin A. (Department of Mathematics, College of Science Post Box 2097 New Campus, Jazan University)
Publication Information
Korean Journal of Mathematics / v.27, no.1, 2019 , pp. 131-140 More about this Journal
Abstract
In this paper we have introduced the concept of pseudo-metric which we induced from a pseudo-valuation on KU-algebras and investigated the relationship between pseudo-valuations and ideals of KU-algebras. Conditions for a real-valued function to be a pseudo-valuation on KU-algebras are provided.
Keywords
KU-algebra; KU-ideal; pseudo-valuations; pseudo-metric;
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1 Moin A. Ansari and Ali N. A. Koam, Rough Approximations in KU-Algebras, Italian Journal of Pure and Applied Mathematics N. 40, (2018), 679-691.
2 D. Busneag, Hilbert algebras with valuations, Math. Japon. 44 (2), (1996), 285-289.
3 D. Busneag, On extensions of pseudo-valuations on Hilbert algebras, Discrete Mathematics, 263 (1-3), (2003), 11-24.   DOI
4 D. Busneag, valuations on residuated latices, An. Univ. Craiova. Ser. Math. Inform. 34 (2007), 21-28.
5 M.I. Doh and M.S. Kang, BCK/BCI-algebras with pseudo-valuation, Honam Mathematical J. 32 (2) (2010), 271-226.   DOI
6 S.M. Mostafa, M.A. Abd-Elnaby and M.M.M. Yousef, Fuzzy ideals of KU-Algebras, Int. Math. Forum. 63 (6) (2011), 3139-3149.
7 Prabpayak and Leerawat, On ideals and congruences in KU-algebras, Scienctia Magna J. 5 (1) (2009), 54-57.
8 Prabpayak and Leerawat, On Isomorphisms of KU-algebras, Scientia Magna J. 5 (3) (2009), 25-31.
9 Y. Yang, X. Xin, EQ-algebras with pseudo pre-valuations, Italian J. of Pure and Applied Maths, 36 (2017), 29-48.
10 Naveed Yaqoob, Samy M. Mostafa and Moin A. Ansari, On cubic KU-ideals of KU-algebras, ISRN Algebras, Vol. 2013, Article ID 935905, (2013), 10 pages.
11 J. Zhan and Y. B. Jun, (Implicative) pseudo-valuations on R0-algebras, U.P.B., Scientific Bulletin, 75 (2013), 101-112.
12 S. Ghorbani, Quotient BCI-algebras induced by pseudo-valuations, Iranian J. of Math. Sc. and Inform. 5 (2010), 13-24.