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.
Niazian, S. (2021). On hyper BI-algebras. Journal of Algebraic Hyperstructures and Logical Algebras, 2(1), 47-67. doi: 10.52547/HATEF.JAHLA.2.1.4
MLA
S. Niazian. "On hyper BI-algebras". Journal of Algebraic Hyperstructures and Logical Algebras, 2, 1, 2021, 47-67. doi: 10.52547/HATEF.JAHLA.2.1.4
HARVARD
Niazian, S. (2021). 'On hyper BI-algebras', Journal of Algebraic Hyperstructures and Logical Algebras, 2(1), pp. 47-67. doi: 10.52547/HATEF.JAHLA.2.1.4
VANCOUVER
Niazian, S. On hyper BI-algebras. Journal of Algebraic Hyperstructures and Logical Algebras, 2021; 2(1): 47-67. doi: 10.52547/HATEF.JAHLA.2.1.4
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