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]/⟨x n ⟩, for each positive integer n, where R[x] is the ring of polynomials in an indeterminant x, and ⟨x n ⟩ is the ideal generated by x n .
2000 Mathematics Subject Classification:
Notes
Communicated by V. A. Artamonov.