مشخصات پژوهش

عنوان	On Ideals and Radicals of Upper Triangular Matrix Rings
نوع پژوهش	مقاله ارائه شده کنفرانسی
کلیدواژه‌ها	Triangular matrix ring, ideal, Brown-McCoy radical, lower nilradical, upper nilradical, Jacobson radical, Catalan number
چکیده	Let R be a ring with identity, n\geq 1, and T_n(R) be the ring of all n\times n upper Triangular matrices over R. In this paper we determine the structure of ideals, lower nilradical, upper nilradical, Jacobson radical, and Brown McCoy radical of certain subrings of T_n(R). The number of ideals of T_n(Z_m), for the case when m is a product of distinct primes is also obtained. The later is an extension of a reals of Shapiro.
پژوهشگران	محمد نادر قصیری (نفر اول)