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A Note on Quotient Fields of Power Series Rings
Published online by Cambridge University Press: 20 November 2018
Abstract
Let R be an integral domain with quotient field K. If R has an overling S ≠ K, such that S[X] is integrally closed, then the "algebraic degree" of K((X)) over the quotient field of R[X] is infinite. In particular, it holds for completely integrally closed domain or Noetherian domain R.
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- Copyright © Canadian Mathematical Society 1994
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