{"id":38489,"date":"2024-08-08T05:49:47","date_gmt":"2024-08-08T05:49:47","guid":{"rendered":"https:\/\/uomosul.edu.iq\/en\/computerscience\/?p=38489"},"modified":"2024-08-22T05:54:17","modified_gmt":"2024-08-22T05:54:17","slug":"masters-thesis-by-student-samira-beno-toma","status":"publish","type":"post","link":"https:\/\/uomosul.edu.iq\/en\/computerscience\/2024\/08\/08\/masters-thesis-by-student-samira-beno-toma\/","title":{"rendered":"Master’s thesis by student Samira Beno Toma"},"content":{"rendered":"

Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:<\/p>\n

“<\/strong> A Strongly Nil Clean Rings With Units Of Order Two <\/strong>“<\/strong><\/p>\n

 <\/p>\n

In continuation of the scientific research movement and with the follow-up and presence of the Dean of the College of Computer Science and Mathematics<\/p>\n

\u00a0\u00a0 <\/strong>Prof. Dr. Duha Bashir Abdullah The esteemed<\/strong><\/p>\n

It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday \u00a021 -8-2024<\/p>\n

Master’s thesis by student Samira Beno Toma,<\/strong> under the supervision of \u00a0<\/strong>Prof. Dr. Nazar Hamdoon Shuker Mahmood.<\/strong><\/p>\n

If every element of a ring R is the sum of idempotent and nilpotent that commute with one another , then the ring is said to be a strongly nil-clean. Further features of a strongly nil-clean ring are given in this thesis. Furthermore, we present and investigate a special class of\u00a0 strongly nil-clean rings with order two units. Additionally, we examine a ringwith each element a in R, a^2 and a^4 is a strongly nil-clean with order two and order four units. Among other results, we prove that: If R is a strongly nil-clean ring of order two units, then for all a in R, existing b in R, such that a.b=E,a-b-1=u and u^2=1, and we prove that the converse of this result is also true if 2 is nilpotent..<\/p>\n

The thesis concludes with a discussion of the new findings and provides some suggestions for future applications.<\/p>\n

The scientific committee included the following members:<\/strong><\/p>\n