On studying bi-\(\Gamma\)-algebra and some related concepts | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 128، دوره 13، شماره 1، خرداد 2022، صفحه 1565-1572 اصل مقاله (360.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5772 | ||
| نویسندگان | ||
| Mohaimen M. Abbood* 1؛ Ali Al-Fayadh Ali Al-Fayadh2؛ Hassan H. Ebrahim3 | ||
| 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 Computer Science and Mathematics, Tikrit University, Tikrit, Salahaddin, Iraq | ||
| چکیده | ||
| The aim of this research paper is to introduce the concept of bi-\(\Gamma\)-algebra space (bi-gamma algebra space). The concept of bi-\(\mu\)-measurable set in a bi-\(\Gamma\)-algebra space is defined. With this concept, some properties of bi-\(\Gamma\)-algebra space are proved. We then define various separation axioms for bi-\(\Gamma\)-algebra space such as \(M_{0},M_{1},\ M_{2},\ M_{3},\) and \(M_{4}\); 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. | ||
| کلیدواژهها | ||
| algebra؛ ( \sigma)-field؛ (\sigma)-algebra؛ (\Gamma)-algebra؛ measurable function | ||
| مراجع | ||
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