Prime links in some skew-polynomial and skew-laurent rings
Paula A. A. B. Carvalho · Communications in Algebra · 1997
Let R be a Noetherian commutative ring and a α1,…,αn commuting automorphisms of R. Define T = R[θ1,…,θn;α1,…,αn] to be the skew-polynomial ring with θir = αi(r)θi and θiθj= θjθi, for all i,j ε (1,…,n) and r ε R, and let S = Rθ1,θ1:-1,…,θn:,θn;-1;α1:,…,αn] be the corresponding skew-Laurent ring. In this paper we show that S and T satisfy the strong second layer condition and characterize the links between prime ideals in these rings.