TY - JOUR ID - 107883 TI - Two dimensional event set and its application in algebraic structures JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Jun, Y.B. AD - Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea Y1 - 2020 PY - 2020 VL - 1 IS - 2 SP - 9 EP - 21 KW - Two dimensional event (set) KW - two dimensional BCK/BCIeventful algebra KW - paired Balgebra KW - paired BCK/BCIalgebra DO - 10.29252/hatef.jahla.1.2.2 N2 - 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. UR - https://jahla.hatef.ac.ir/article_107883.html L1 - https://jahla.hatef.ac.ir/article_107883_93c682b3f244420e036169ada670a378.pdf ER -