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

Quasi union hyper K-algebras

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

Abstract

We give a method of construction of a hyper K-algebra on a set of order k, where k is a fixed cardinal number. Then we introduce the notion of quasi union hyper K-algebra and prove that any quasi union hyper K-algebra is implicative and whenever 0o0={0}, it is strong implicative hyper K-algebra. Also a quasi union hyper K-algebra is positive implicative if and only if it is a hyper BCK-algebra.

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