Interior GE-Algebras

Jeong-Gon Lee, Ravikumar Bandaru, Kul Hur, Young Bae Jun and Hee S. Kim

Journal of Mathematics, 2021, vol. 2021, 1-10

Abstract: The concepts of (commutative, transitive, left exchangeable, belligerent, antisymmetric) interior GE-algebras and bordered interior GE-algebras are introduced, and their relations and properties are investigated. Many examples are given to support these concepts. A semigroup is formed using the set of interior GE-algebras. An example is given that the set of interior GE-algebras is not a GE-algebra. It is clear that if X is a transitive (resp., commutative, belligerent, and left exchangeable) GE-algebra, then the interior GE-algebra X,f is transitive (resp., commutative, belligerent, and left exchangeable), but examples are given to show that the converse is not true in general. An interior GE-algebra is constructed using a bordered interior GE-algebra with certain conditions, and an example is given to explain this.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6646091

DOI: 10.1155/2021/6646091

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