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arXiv · 1705.05686

The structure of the inverse system of Gorenstein k-algebras

Joan Elias·Maria Evelina Rossi
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Abstract

Macaulay's Inverse System gives an effective method to construct Artinian Gorenstein k-algebras. To date a general structure for Gorenstein k-algebras of any dimension (and codimension) is not understood. In this paper we extend Macaulay's correspondence characterizing the submodules of the divided power ring in one-to-one correspondence with Gorenstein d-dimensional k-algebras. We discuss effective methods for constructing Gorenstein graded rings. Several examples illustrating our results are given.

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Joan Elias, Maria Evelina Rossi. 2017-05-16. The structure of the inverse system of Gorenstein k-algebras. https://doi.org/10.1016/j.aim.2017.04.025

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