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When $(D[[X]])\sb{P[[X]]}$ is a valuation ring

When $(D[[X]])\sb{P[[X]]}$ is a valuation ring

Let D be an integral domain with identity and let K denote the quotient field of D. If P is a prime ideal of D denote by $P[[X]]$ that prime ideal of $D[[X]]$ consisting of all those formal power series each of whose coefficients belongs to P. In this paper …