On a Quotient of Polynomial Rings

Abstract

For a ring R we study an ideal theory of a triangular matrix ring and use it to determine radicals and prime ideals of the ring R[x]/〈xn〉, for each positive integer n, where R[x] is the ring of polynomials in an indeterminant x, and xn〉 is the ideal generated by xn. © Taylor & Francis Group, LLC.