Shahrood University of TechnologyJournal of Algebraic Systems2345-51281220140101Lattice of weak hyper K-ideals of a hyper K-algebra13514723210.22044/jas.2014.232ENM. BakhshiDepartment of Mathematics, University of Bojnord, P.O.Box 1339, Bojnord, Iran.0000-0001-6552-1307Journal Article20130903In this note, we study the lattice structure on the class of all weak hyper K-ideals of a hyper K-algebra. We first introduce the notion of (left,right) scalar in a hyper K-algebra which help us to characterize the weak hyper K-ideals generated by a subset. In the sequel, using the notion of a closure operator, we study the lattice of all weak hyper K-ideals of a hyper K-algebra, and we prove a special subclass of this class together with the suitable operations forms a Boolean lattice.https://jas.shahroodut.ac.ir/article_232_fe64e3c27374bc5dcee6428ef6fbdbec.pdf