International Journal of Nonlinear Analysis and Applications

On studying bi-Γ-algebra and some related concepts

Document Type : Research Paper

Authors

1 Ministry of Education, General Directorate of Education in Diyala, Iraq

2 Department of Mathematics and Computer Applications, College of Science, Al-Nahraini University, Baghdad, Iraq

3 Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Salahaddin, Iraq

Abstract

The aim of this research paper is to introduce the concept of bi-Γ-algebra space (bi-gamma algebra space). The concept of bi-μ-measurable set in a bi-Γ-algebra space is defined. With this concept, some properties of bi-Γ-algebra space are proved. We then define various separation axioms for bi-Γ-algebra space such as M0,M1, M2, M3, and M4; then the relationships between them are studied. In addition, the concept of measurable function between two bi-measurable spaces is introduced and some results are discussed.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 1565-1572
  • Receive Date: 04 September 2021
  • Accept Date: 30 October 2021