Title of article :
On studying bi-Γ-algebra and some related concepts
Author/Authors :
Abbood, Mohaimen M. Ministry of Education - General Directorate of Education in Diyala, Iraq , Al-Fayadh, Ali Department of Mathematics and Computer Applications - College of Science - Al-Nahraini University, Baghdad, Iraq , Ebrahim, Hassan H. 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 :
algebra , ( sigma)-field , (sigma)-algebra , (Gamma)-algebra , measurable function
Journal title :
International Journal of Nonlinear Analysis and Applications
