Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Fuzzy Prime Ideals of Pseudo- ŁBCK-algebras

  • Dymek, Grzegorz (Institute of Mathematics and Computer Science, The John Paul II Catholic University of Lublin) ;
  • Walendziak, Andrzej (Institute of Mathematics and Physics, Siedlce University)
  • Received : 2012.07.05
  • Accepted : 2013.12.15
  • Published : 2015.03.23
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Abstract

Pseudo-ŁBCK-algebras are commutative pseudo-BCK-algebras with relative cancellation property. In the paper, we introduce fuzzy prime ideals in pseudo-ŁBCK-algebras and investigate some of their properties. We also give various characterizations of prime ideals and fuzzy prime ideals. Moreover, we present conditions for a pseudo-ŁBCKalgebra to be a pseudo-ŁBCK-chain.

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References

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