29 September، 2025
Master’s thesis by Student Ruaa Bashir Ali Alshekh
Discussion of the master’s thesis in the College of Computer Science and Mathematics -Department of
Mathematics Sciences entitled:
“ Tripotent and generalized tripotent rings“
It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on sunday, 28-9-2025.
Master’s thesis by Student Ruaa Bashir Ali Alshekh
under the supervision of Prof. Dr. Nazar Hamdoon Shuker
As a generalization of a tripotent rings, we introduce the concept of generalized tripotent ring ( GT-ring for short ). A GT-ring is a ring in which, for every element is tripotent that is, it satisfies This new definition allows us to study a larger class of rings that share similar structural features with classical tripotent rings. In this thesis, we aim to explore the algebraic structuree of GT-rings and show how they behave. We also compare their properties with those of usual tripotent rings. The goal is to understand how these new rings work and what makes them different or special. Finally, we investige the structure of the Jacobson radical of such rings, and the relations of such rings with other related ring for example tripotent, nil clean, clean, strongly 2-nil clean rings.
The scientific committee included the following members:
- Dr. Husam Qasem Mohammad – Chairman
- Ahmed Amer Mohammed Fawzy – Member.
- Dr. Shaima Hatim – Member.
- Dr. Nazar Hamdoon Shuker – Member and supervisor.
