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(Weak) Implicative Hyper K-ideals

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Abstract

In this note first we define the notions of weak implicative andimplicative hyper K-ideals of a hyper K-algebra H. Then westate and prove some theorems which determine the relationshipbetween these notions and (weak) hyper K-ideals. Also we givesome relations between these notions and all types of positiveimplicative hyper K-ideals. Finally we classify the implicativehyper K-ideals of a hyper K-algebra of order 3.

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