科研之友
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摘要
Let R be an affine k-domain over the field k. The paper's main result is that if R admits a nontrivial embedding in a polynomial ring K[s] for some field K containing k, then R can be embedded in a polynomial ring F[t] which extends R algebraically. This theorem can be applied to subrings of a ring which admits a nonzero locally nilpotent derivation. In this way, we obtain a concise new proof of the cancellation theorem for rings of transcendence degree one for fields of characteristic 0.
- 出版日期2015-9
