t-LINKED OVERRINGS OF A NOETHERIAN DOMAIN

  • 투고 : 1999.04.28
  • 발행 : 1999.09.20

초록

Let R be a Noetherian domain. It is proved that $t$-dimR = 1 if and only if each (proper if R is not a valuation domain) $t$-linked overring D of R is of $t$-dimD = 1 if and only if each integrally closed $t$-linked overring of R is a Krull domain.

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