Abstract
In this note we define first the notions of positive implicative hyper K-ideals of types 1,2, …, 8. Then by giving many examples we show that these notions are different. After that we state and prove some theorems which determine the relationships between these notions. Also by defining the concepts of positive implicative and quasi alternate hyper K-algebra of type 1 and s-reflexive hyper K-ideal, we obtain other results. Finally, we distinguish all elements of a hyper K-ideal generated by a nonempty subset.
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