Prime links in some skew-polynomial and skew-laurent rings |
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| Authors: | Paula A A B Carvalho |
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| Institution: | Department of Mathematics , University of Glasgow , Glasgow, G12 8QW, Scotland |
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| Abstract: | Let R be a Noetherian commutative ring and a α1,…,αn commuting automorphisms of R. Define T = Rθ1,…,θn;α1,…,αn] to be the skew-polynomial ring with θir = αi(r)θi and θiθj= θjθi, for all i,j ? (1,…,n) and r ? 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. |
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