On Cohen-Macaulay modules over the Weyl algebra
type: Item
instance of: scholarly article
title: On Cohen-Macaulay modules over the Weyl algebra
zbMATH Open document ID: 1548.13062
author: Jen-Chieh Hsiao
author: Kuei-Nuan Lin
published in: International Journal of Algebra and Computation
publication date: 2024-07-16T00:00:00Z
review text: The main purpose of this paper is to provide a well-defined and reasonable definition of Cohen-Macaulay \(D\)-modules, where \(D = k[x]\langle \partial\rangle =: k[x_1, \ldots , x_n]\langle \partial_1, \ldots , \partial_n\rangle\) and is the \(n\)th Weyl algebra over a field \(k\) of characteristic \(0\). They also give a sufficient condition for a GKZ \(A\)-hypergeometric \(D\)-module to be Cohen-Macaulay.\N\NNote that for noncommutative rings, there are different notions of Cohen-Macaulayness in the literature.
reviewed by: Tongsuo Wu
Mathematics Subject Classification ID: 13N10
Mathematics Subject Classification ID: 33C20
zbMATH DE Number: 7881704
zbMATH Keywords: Cohen-Macaulay
zbMATH Keywords: \(D\)-module
zbMATH Keywords: toric
zbMATH Keywords: hypergeometric system
MaRDI profile type: Publication
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DOI: 10.1142/S0218196724500267
description: scientific article; zbMATH DE number 7881704