Generic Fiber of Power Series Ring Extensions

نویسنده

  • TIBERIU DUMITRESCU
چکیده

Let D be a Noetherian domain containing a field, a ∈ D a nonzero nonunit and z an indeterminate over D. We prove that the generic fiber of the extension D[[z]] →֒ D[1/a][[z]] has dimension ≥ dim(D/aD). 2000 Mathematics Subject Classification: 13F25, 13J10.

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تاریخ انتشار 2008