The cancellation problem over Noetherian one-dimensional domains
The cancellation problem over Noetherian one-dimensional domains
Let R be a commutative Noetherian one-dimensional domain containing Q. In this paper we prove that if an R-algebra A is such that A[n]≅RR[n+2], for some n≥1, then A≅RR[2]. In terms of affine fibrations this means that every stably trivial A2-fibration over R is actually trivial. On the other hand, …