International Journal of Mathematics and Mathematical Sciences
Volume 2008 (2008), Article ID 835605, 8 pages
doi:10.1155/2008/835605
Research Article
Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
School of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-3619995161, Shahrood, Iran
Received 26 February 2008; Accepted 28 April 2008
Academic Editor: Howard Bell
Copyright © 2008 E. Hashemi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.