The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic
type: Item
instance of: scholarly article
title: The global homological dimension of the ring of differential operators on a nonsingular variety over a field of positive characteristic
zbMATH Open document ID: 0617.13007
DOI: 10.1016/0021-8693(87)90076-7
published in: Journal of Algebra
publication date: 1987-01-01T00:00:00Z
review text: Let A be the coordinate ring of a nonsingular affine variety over an algebraically closed field of characteristic \(p>0.\) It is proved that \(gl.\dim (D(A))=\dim (A)\) where D(A) is the ring of differential operators on A. In characteristic zero the result was known [cf. \textit{S. U. Chase}, Commun. Algebra 1, 351-363 (1974; Zbl 0315.13011)].
Mathematics Subject Classification ID: 13D05
Mathematics Subject Classification ID: 13H05
Mathematics Subject Classification ID: 14A10
zbMATH DE Number: 4000072
zbMATH Keywords: global homological dimension
zbMATH Keywords: coordinate ring
zbMATH Keywords: ring of differential operators
author: S. Paul Smith
reviewed by: Alexandru Buium
MaRDI profile type: Publication
full work available at URL: 0021-8693(87)90076-7
OpenAlex ID: W2149652144
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description: scientific article; zbMATH DE number 4000072