Dear Rahaf Masaad ,
You are an undergraduate student, seeking a bachelor degree. You want to write about active topics in Ring Theory.
My advice to write about topics in commutative rings that are much easier than noncommutative rings.
You can p repare an essay about the algebraic geometry and algebraic number theory( related to commutative rings) and the proof of Fermat's Last Theory using the Elliptic curves techniques.
Don't need to show deep details, but you can tell the story of many previous attempts through 350 years starting from Fermat, Euler, Germain, Legendre, Kummer, Taniyama, Shimura, Frey, Ribet, Serre to the end of the story by Andrew Wiles proof.
Best wishes
Dear issam kaddoura
Yes, this is true I have not graduated yet, but I would like to write a research on ring theory and because I search a lot . I think it is not bad idea to live in this experience I want something special. This research is not a graduation project to end the bachelor's degree, but it is to me and I really thank you all for your great advices I have taken my decision that I look for (الزمكان)and I want to search .Is it related to ring theory ?
In your's opinion , it's a good idea ??
Best wishes
I know they may not have a relationship with each other but I will try if I fail I will discuss another topic
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