%0 Journal Article
%T On hyper BI-algebras
%J Journal of Algebraic Hyperstructures and Logical Algebras
%I University of Hatef (Hatef College University)
%Z 2676-6000
%A Niazian, S.
%D 2021
%\ 02/01/2021
%V 2
%N 1
%P 47-67
%! On hyper BI-algebras
%K BI-algebra
%K hyper BI-algebra
%K hyper K-algebra
%K hyper BCK/BCI-algebra
%R 10.52547/HATEF.JAHLA.2.1.4
%X In this paper, we introduce the notion of hyper BI-algebra and investigate some properties of it. Also, we state and prove some theorems which determine the relationship among $R/ C/ D/ T$ and V-hyper BI-algebras under some conditions. Then we study the relation among hyper BI-algebra with some of other hyper logical algebras such as hyper BCI/BCK/K/B/BCC-algebras and show that under which condition these hyper structures coincide. In addition, we define hyper subalgebra and (weak) ideal of a hyper BI-algebra and obtain some results and the relation between them. Finally, we construct the quotient structure of hyper BI-algebra and examine the isomorphism theorems.
%U https://jahla.hatef.ac.ir/article_127900_6cc984dde904b40f9d72054206a47e6b.pdf