%0 Journal Article %T LEFT ABSORBING HYPER K-ALGEBRAS %J Journal of Algebraic Systems %I Shahrood University of Technology %Z 2345-5128 %A Madadi, S. %A Nasr-Azadani, M. A. %D 2021 %\ 09/01/2021 %V 9 %N 1 %P 137-149 %! LEFT ABSORBING HYPER K-ALGEBRAS %K ‎Hyper K-algebra‎ %K ‎Hyper K‎- ‎ideal‎ %K ‎Positive implicative hyper K-ideal‎ %K ‎Commutative hyper K-ideal‎ %K ‎Implicative hyper K-ideal‎ %R 10.22044/jas.2020.8717.1423 %X 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. %U https://jas.shahroodut.ac.ir/article_2059_f6f83e8f6ad98309bef297966deface2.pdf