IMI/Publicaţii/QRS/Ediţii/QRS v.16, n.1 (19), 2008/

A note on a union hyper K-algebras

Authors: M. A. Nasr-Azadan, M. M. Zahedi


At first by some examples we show that the Theorem 3.7 of [1] is not true in general. Then we give a correct version of it. Moreover we give the notion of a union of a family of hyper K-algebras and investigate some of its properties. Finally by considering the concept of (closed set)-decomposable, we show that a hyper BCK-algebra is (closed set)-decomposable if and only if it is the union of a family of hyper BCK-algebras


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