On Skew Triangular Matrix Rings

Abstract

For a ring R, endomorphism α of R and positive integer n we define a skew triangular matrix ring T n(R, α). By using an ideal theory of a skew triangular matrix ring T n(R, α) we can determine prime, primitive, maximal ideals and radicals of the ring R[x; α]/〈x n〉 for each positive integer n, where R[x; α] is the skew polynomial ring, and 〈x n〉 is the ideal generated by x n. © 2011 Copyright Taylor and Francis Group, LLC.