Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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WHEN THE NAGATA RING D(X) IS A SHARP DOMAIN

  • Chang, Gyu Whan (Department of Mathematics Education Incheon National University)
  • Received : 2016.03.11
  • Accepted : 2016.09.11
  • Published : 2016.09.30
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Abstract

Let D be an integral domain, X be an indeterminate over D, D[X] be the polynomial ring over D, and D(X) be the Nagata ring of D. Let [d] be the star operation on D[X], which is an extension of the d-operation on D as in [5, Theorem 2.3]. In this paper, we show that D is a sharp domain if and only if D[X] is a [d]-sharp domain, if and only if D(X) is a sharp domain.

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References

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