14 August، 2024
Master’s thesis by student Ali Shakir Mahmood Aziz
Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:
“ m – Nil Regular 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 14-8-2024
Master’s thesis by student Ali Shakir Mahmood Aziz, under the supervision of Assist. Prof. Zubaida Mohammed Ibraheem.
An element x of a ring R is said to be m-regular nil clean, if can be written as a sum of m-regular element , for some fixed ppositive integer m 1 and a nil Potent b such that x= +b, and the ring R is said to be m-regular nil clean if each of its elements is m-regular nil clean. In this work we first studied some Properties of m-regular nil clean, Let R be m-regular nil clean ring, and {0,1} Idm(R) with m-reg.(R) C(R), Then R is local ring and J(R) ⊆N(R),our major goals is to study new classes of m-regular nil clean rings namely, Strongly Involution m-regular nil clean ring, we give the basic Properties of this rings and their relations with other rings.
The scientific committee included the following members :
- Dr. Raida Dawood Mahmood – Chairman
2- Prof. Dr. Hussam Kasm Mohammed – Member.
3- Assist. Prof. Dr. Ali Abdulqader Alabdali – Member .
4- Assist. Prof. Dr. Zubaida Mohammed Ibraheem – Member and supervisor .
