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Pseudo-metric on KU-algebras

Moin A. Ansari|Azeem Haider|Ali N.A. Koam
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2019.03|한국수학논문집 (Korean Journal of Mathematics)|제27권 제1호|pp. 131-140

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키워드

KU-algebraKU-idealpseudo-valuationspseudo-metric.
주제분류수학

초록

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.

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.

참고문헌 (12)

  1. Moin A. Ansari, "Rough Approximations in KU-Algebras", Italian Journal of Pure and Applied Mathematics, (40), pp.679~691 (2018)
  2. D. Busneag, "Hilbert algebras with valuations", Math. Japon, 44(2), pp.285~289 (1996)
  3. D. Busneag, "On extensions of pseudo-valuations on Hilbert algebras", Discrete Mathematics, 263(1-3), pp.11~24 (2003)
  4. D. Busneag, "valuations on residuated latices", An. Univ. Craiova. Ser. Math. Inform, 34, pp.21~28 (2007)
  5. 도명임, "BCK", BCI-ALGEBRAS WITH PSEUDO-VALUATIONS, 2010, pp.32(2), 217~226[DOI]
  6. S. Ghorbani, "Quotient BCI-algebras induced by pseudo-valuations", Iranian J. of Math. Sc. and Inform, 5, pp.13~24 (2010)
  7. S.M. Mostafa, "Fuzzy ideals of KU-Algebras", Int. Math. Forum, 63(6), pp.3139~3149 (2011)
  8. Prabpayak, "On ideals and congruences in KU-algebras", Scienctia Magna J, 5(1), pp.54~57 (2009)
  9. Prabpayak, "On Isomorphisms of KU-algebras", Scientia Magna J, 5(3), pp.25~31 (2009)
  10. Y. Yang, "EQ-algebras with pseudo pre-valuations", Italian J. of Pure and Applied Maths, 36, pp.29~48 (2017)
  11. Naveed Yaqoob, "On cubic KU-ideals of KU-algebras", ISRN Algebras, 2013, pp.10~ (2013)[DOI]
  12. J. Zhan, "(Implicative) pseudo-valuations on R0-algebras", U.P.B. Scientific Bulletin, 75, pp.101~112 (2013)

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