مشخصات پژوهش

عنوان	On the idempotents, nilpotents, units and zero-divisors of finite rings
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Idempotent, nilpotent, unit, zero-divisor, matrix ring, quaternion ring
چکیده	In this article, first we find the number of idempotents and the zero-divisors of a matrix ring over a finite field F. Next, given the order of the Jacobson radical of the finite unital ring R, we find the number of units, nilpotents and zero-divisors of R. Moreover, we find an upper bound for the number of idempotents of a finite ring which is in general smaller than the upper bound found by MacHale [Proc. R. Ir. 1982;82A(1):9–12]. Finally, we find the above-mentioned numbers in some matrix rings and quaternion rings.
پژوهشگران	محمد نادر قصیری (نفر دوم)، حسن چراغ پور (نفر اول)