Nagoya Mathematical Journal

Some examples of one dimensional Gorenstein domains

Keiichi Watanabe

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Article information

Source
Nagoya Math. J., Volume 49 (1973), 101-109.

Dates
First available in Project Euclid: 14 June 2005

Permanent link to this document
https://projecteuclid.org/euclid.nmj/1118798875

Mathematical Reviews number (MathSciNet)
MR0318140

Zentralblatt MATH identifier
0257.13024

Subjects
Primary: 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05]
Secondary: 14M05: Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) [See also 13F15, 13F45, 13H10]

Citation

Watanabe, Keiichi. Some examples of one dimensional Gorenstein domains. Nagoya Math. J. 49 (1973), 101--109. https://projecteuclid.org/euclid.nmj/1118798875


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References

  • [1] J. Herzog and E. Kunz Die Werthalbgruppe eines lokalen Rings der dimension 1, Sitzungsberichte der Heiderberger Akademie der Wissenschaften (1971), Springer-Verlag.
  • [2] J. Herzog Generators and relations of abelian semigroups and semigrouprings. Manuscripta math. 3, 175-193 (1970).
  • [3] E. Kunz The value-semigroup of a one-dimensional Gorenstein ring. Proc. A.M.S. 25, (1970) 748-751. Tokyo Metropolitan University