A characterizationo f prime noetherian P.I. rings and a theorem of Mori-Nagata

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Abstract

Let R be a noetherian prime p.i. ring, C the center of R and C its normalization. It is proved that R is integral over its center if f C is a Krull domain. We also give a simple proof for the following theorem [7]: The normalization of a commutative noetherian domain is Krull.

Original languageEnglish
Pages (from-to)9-15
Number of pages7
JournalProceedings of the American Mathematical Society
Volume74
Issue number1
DOIs
StatePublished - Apr 1979
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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