Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings

Abstract EN

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.