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This is question 6.5 in Matsumura's "Commutative ring theory":

How can I prove that the total ring of fractions of a reduced Noetherian ring is a direct product of fields?

  • 1
    Hint: A Noetherian ring has only finitely many prime ideals belonging to $0$.2011-07-14
  • 0
    Is the converse true?2018-11-06

1 Answers 1