Dedekind subrings ofk[x 1,…,x n ] are rings of polynomials |
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Authors: | Abraham Zaks |
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Affiliation: | (1) Northwestern University, Evanston, Illinois;(2) Technion — Israel Institute of Technology, Haifa |
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Abstract: | The purpose of this note is to prove that a Dedekind domain R which contains a field k, and which is a subring ofk[x 1,…,x n ] is a ring of polynomials. This generalizes similar results of A. Evyatar and A. Zaks on principal ideal domains, and of P. M. Cohn for the casen=1. Our methods and proofs differ from those introduced previously. This research was partially supported by the National Science Foundation, Grant GP-23861. |
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