Prime links in some skew-polynomial and skew-laurent rings
Titel:
Prime links in some skew-polynomial and skew-laurent rings
Auteur:
Carvalho, Paula A. A. B.
Verschenen in:
Communications in algebra
Paginering:
Jaargang 25 (1997) nr. 5 pagina's 1443-1469
Jaar:
1997
Inhoud:
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.
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