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Some Examples of one Dimensional Gorenstein Domains

Published online by Cambridge University Press:  22 January 2016

Keiichi Watanabe
Keiichi Watanabe*
Affiliation:
Tokyo Metropolitan University
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In this paper, I will prove the following theorems;

For given integers n and m such that m ≧ 2n, there exist 1-dimensional local domains which are complete intersections and have embedding dimension n + 1 and multiplicity m.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 49 , March 1973 , pp. 101 - 109
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

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