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On Cohen-Macaulay and Gorenstein simplicial affine semigroups

Published online by Cambridge University Press:  20 January 2009

J. C. Rosales  and
Pedro A. García-Sánchez
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Abstract

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We give arithmetic characterizations which allow us to determine algorithmically when the semigroup ring associated to a simplicial affine semigroup is Cohen-Macaulay and/or Gorenstein. These characterizations are then used to provide information about presentations of this kind of semigroup and, in particular, to obtain bounds for the cardinality of their minimal presentations. Finally, we show that these bounds are reached for semigroups with maximal codimension.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 3 , October 1998 , pp. 517 - 537
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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