Shahrood University of TechnologyJournal of Algebraic Systems2345-51289120210901LEFT ABSORBING HYPER K-ALGEBRAS137149205910.22044/jas.2020.8717.1423ENS. MadadiDepartment of Mathematics, University of SHAHED, Tehran, Iran.M. A. Nasr-AzadaniDepartment of Mathematics, University of SHAHED, P.O.Box 18151-159, Tehran,
Iran.Journal Article20190721In 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.https://jas.shahroodut.ac.ir/article_2059_f6f83e8f6ad98309bef297966deface2.pdf