Interior GE-Algebras | Zendy

Jeong-Gon Lee | Zendy; Ravikumar Bandaru | Zendy; Kul Hur | Zendy; Young Bae Jun | Zendy

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Interior GE-Algebras

Author(s) -

Jeong-Gon Lee,

Ravikumar Bandaru,

Kul Hur,

Young Bae Jun

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6646091

Subject(s) - mathematics , commutative property , belligerent , pure mathematics , algebra over a field , politics , political science , law

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.

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