Document Type : Original Manuscript


1 Department of Mathematics, University of SHAHED, Tehran, Iran.

2 Department of Mathematics, University of SHAHED, P.O.Box 18151-159, Tehran, Iran.


In the present manuscript, we introduce a type of hyper K-algebra which is called left absorbing hyper K-algebra and investigate some of the related properties. We also show that set of all types of positive implicative and commutative hyper K-ideal form a distributive latttice and study their diagrams when positive implicative and commutative hyper K-ideal are a hyper K-ideal and the hyper K-algebra is left absorbing.


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