University of KashanMathematics Interdisciplinary Research2538-36398120230301On Hyper CI-algebras476311376510.22052/mir.2022.246510.1359ENSomayeh Borhani Nejad RayeniDepartment of Mathematics, Payame Noor University0000-0002-6399-540xAkbar RezaeiDeaprtment of Mathematics, Payame Noor university0000-0002-6003-3993Journal Article20220621In this paper, we define the notion of hyper CI-algebras as a generalization of hyper BE-algebras and present some properties. Also, the concepts of a weak hyper filter and a hyper filter over hyper CI-algebras is defined. Moreover, we define the commutative hyper CI-algebra and find the number<br />of commutative hyper CI-algebras of order less than 3.https://mir.kashanu.ac.ir/article_113765_8533d136df34d4084a806da0547d3ddc.pdf