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Defining ideals of Buchsbaum semigroup rings

Published online by Cambridge University Press:  22 January 2016

Yuuji Kamoi
Yuuji Kamoi*
Affiliation:
Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03, Japan
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Let H be a simplicial semigroup. We consider the semigroup ring k[H] and its defining ideal IH. For definition see the first paragraph of Section 1.

When dim(k[H]) = 1, the defining ideal IH of k[H] has been studied by many authors (e.g. [1], [2], [8], [11], [3]). In this paper, we study the ideal IH using the notion of Gröbner bases for arbitrary dimension.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 136 , December 1994 , pp. 115 - 131
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1994

References

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