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http://dx.doi.org/10.14317/jami.2011.29.1_2.443

THE CONSTRUCTION OF A NON-UNIMODAL GORENSTEIN SEQUENCE

Ahn, Jea-Man (Department of Mathematics Education, Kongju National University)

Publication Information

Journal of applied mathematics & informatics / v.29, no.1_2, 2011 , pp. 443-450 More about this Journal

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.

Keywords

Hilbert functions; Gorenstein algebras; Trivial extensions; Macaulay's inverse systems;

Citations & Related Records

Reference

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