Some separation axioms On \(\Gamma\)-algebra

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 Education, Al-Zahraa University for Women, Karbala, Iraq

Abstract

In this paper, we define and study some separation axioms on \(\Gamma\)-algebra space (gamma algebra space). The relationships between various separation axioms in \(\Gamma\)-algebra space are proved. In addition, the measurable function between two measurable spaces is introduced and some results are discussed.

Keywords

[1] M. M. Abbood, H. H. Ebrahim and A. Al-Fayadh, Study on Γ–algebra with Some Related Concepts, (Accepted to AIP Conf. Proc., 28/3/2021).
[2] V. I. Bogachev, Measure Theory, I, Springer, 2007.
[3] R. M. Dudley, Real analysis and probability, Cambridge Univ. Press, 2002.
[4] L. C. Evans and R. F. Gariepy, Measure Theory and Fine Properties, CRC Press. New York, 2015.
[5] R. P. Halmos, Measure Theory, Springer, 1976.
[6] B. A. Robert, Real Analysis and Probability, Academic Press, INC, University of Illinois, 1972.
[7] K.A. Ross and R.B. Ash, Real analysis and probability, Amer. Math. Month., 82(1) (1975) 91.
[8] Z. Wang and G. J. Klir, Generalized Measure Theory, Springer, 2009.
Volume 13, Issue 1
March 2022
Pages 1763-1768
  • Receive Date: 13 September 2021
  • Accept Date: 28 October 2021