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Some separation axioms On \(\Gamma\)-algebra | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 146، دوره 13، شماره 1، خرداد 2022، صفحه 1763-1768 اصل مقاله (339.44 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5795 | ||
| نویسندگان | ||
| Mohaimen M. Abbood* 1؛ Ali Al-Fayadh Ali Al-Fayadh2؛ Saba N. Al-Khafaji3 | ||
| 1Ministry of Education, General Directorate of Education in Diyala, Iraq | ||
| 2Department of Mathematics and Computer Applications, College of Science, Al-Nahraini University, Baghdad, Iraq | ||
| 3Department of Mathematics, College of Education, Al-Zahraa University for Women, Karbala, Iraq | ||
| تاریخ دریافت: 22 شهریور 1400، تاریخ پذیرش: 06 آبان 1400 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| algebra؛ (\sigma)--field؛ (\sigma)--algebra؛ (\Gamma)-algebra؛ measurable function | ||
| مراجع | ||
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[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. | ||
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