Two dimensional event set and its application in algebraic structures

Author(s):
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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Language:
English
Published:
Journal of Algebraic Hyperstructures and Logical Algebras, Volume:1 Issue: 2, Spring 2020
Pages:
9 to 21
https://magiran.com/p2126453