15 February، 2024
A master’s thesis for student zubaydah Waleed Abdullah hasan
Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
( On strongly 3-nil clean rings )
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
Prof. Dr. Duha Bashir Abdullah The esteemed
It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday 14 -2 – 2024
Master’s thesis by student zubaydah Waleed Abdullah hasan
under the Professor Dr. Nazar Hamdoon Shuker Mahmood
A ring ꭆ is said to be a strongly 3nil clean ring if every element of ꭆ can be written as a sum of three idempotents and a nilpotent that commute with one another.
In this thesis we introduce the notion of a strongly 3nil clean, we give some of its basic properties ring in term of nil ideal. Furthermore, we establish the relationships of a strongly 3nil clean rings and other related rings. Finally we consider a special strongly 3nil clean rings we give some of it’s fundamental properties and provide some examples.
The scientific committee included the following members :
Prof. Dr. Ammar Siddik Mahmood – Chairman
Prof. Dr. Hussam Qassem Mohammad – Member
Assistant Professor Zubaida Muhammad Ibrahim – Member
Prof. Dr. Nazar Hamdoon Shuker – member and supervisor
