Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778510 | Advances in Mathematics | 2017 | 22 Pages |
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)
Authors
J. Elias, M.E. Rossi,