Article ID Journal Published Year Pages File Type
5778510 Advances in Mathematics 2017 22 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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