Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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THE CONSTRUCTION OF A NON-UNIMODAL GORENSTEIN SEQUENCE

  • Ahn, Jea-Man (Department of Mathematics Education, Kongju National University)
  • Received : 2010.06.08
  • Accepted : 2010.08.20
  • Published : 2011.01.30
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Abstract

In this paper, we construct a Gorenstein Artinian algebra R/J with non-unimodal Hilbert function h = (1, 13, 12, 13, 1) to investigate the algebraic structure of the ideal J in a polynomial ring R. For this purpose, we use a software system Macaulay 2, which is devoted to supporting research in algebraic geometry and commutative algebra.

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References

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