S. Madadi - Department of Mathematics, University of SHAHED, Tehran, Iran.
M. A. Nasr-Azadani - Department of Mathematics, University of SHAHED, P.O.Box ۱۸۱۵۱-۱۵۹, 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.

‎Hyper K-algebra‎, ‎Hyper K‎- ‎ideal‎, ‎Positive implicative hyper K-ideal‎, ‎Commutative hyper K-ideal‎, ‎Implicative hyper K-ideal‎