International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 835605, 8 pages
doi:10.1155/2008/835605

Prime ideals and strongly prime ideals of skew Laurent polynomial rings.

Abstract

We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R. Also we investigate the relationship of P(R) and Nr(R) of R with the prime radical and the upper nil radical of the skew Laurent polynomial rings. Then by using Jordan's ring, we extend above results to the case where α is not surjective.