%0 Journal Article %T Two dimensional event set and its application in algebraic structures %J Journal of Algebraic Hyperstructures and Logical Algebras %I University of Hatef (Hatef College University) %Z 2676-6000 %A Jun, Y.B. %D 2020 %\ 05/01/2020 %V 1 %N 2 %P 9-21 %! Two dimensional event set and its application in algebraic structures %K Two dimensional event (set) %K two dimensional BCK/BCIeventful algebra %K paired Balgebra %K paired BCK/BCIalgebra %R 10.29252/hatef.jahla.1.2.2 %X Two dimensional event set is introduced, and it is applied to algebraic structures. Two dimensional BCK/BCI-eventful algebra, paired B-algebra and paired BCK/BCI-algebra are defined, and several properties are investigated. Conditions for two dimensional eventful algebra to be a B-algebra and a BCK/BCI-algebra are provided. The process of inducing a paired B-algebra using a group is discussed. Using two dimensional BCI-eventful algebra, a commutative group is established. %U https://jahla.hatef.ac.ir/article_107883_93c682b3f244420e036169ada670a378.pdf