Differential operators on monomial rings
type: Item
instance of: scholarly article
title: Differential operators on monomial rings
zbMATH Open document ID: 0943.13021
DOI: 10.1016/S0022-4049(97)00170-9
author: William N. Traves
published in: Journal of Pure and Applied Algebra
publication date: 2000-09-05T00:00:00Z
review text: A similar question as in the paper reviewed above [\textit{A. Eriksson}, Commun. Algebra 26, No. 12, 4007-4013 (1998; Zbl 0943.13020)] is considered under more general assumptions, especially in the case where \(k\) has positive characteristic. Apart from the main result (loc. cit.), the structure of \(R\) as a \(D(R)\)-module is described and used in connection with Nakai's conjecture [\textit{B. Singh}, Nagoya Math. J. 103, 67-84 (1986; Zbl 0569.13003)] and determination of the test ideal for tight closure [\textit{C. Huneke}, ``Tight closure and its applications'', Regional Conf. Ser. Math. 88 (1996; Zbl 0930.13004)].
Mathematics Subject Classification ID: 13N10
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 16S32
zbMATH DE Number: 1308316
zbMATH Keywords: Nakai's conjecture
zbMATH Keywords: tight closure
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1308316