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http://dx.doi.org/10.5666/KMJ.2015.55.1.51

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)
Publication Information
Kyungpook Mathematical Journal / v.55, no.1, 2015 , pp. 51-62 More about this Journal
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.
Keywords
Pseudo-BCK-algebra; pseudo-LBCK-algebra; (fuzzy) ideal; (fuzzy) prime ideal;
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