College of Computer Science and Mathematics

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