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Differential operators on monomial curves

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UNSPECIFIED (2003) Differential operators on monomial curves. JOURNAL OF ALGEBRA, 264 (1). pp. 186-198. ISSN 0021-8693

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Official URL: http://dx.doi.org/10.1016/S0021-8693(03)00144-3

Abstract

Let k be an algebraically closed field of characteristic 0, let Gamma subset of or equal to N-0 be a numerical semigroup, and let A = k[Gamma] be the corresponding semigroup algebra. We give an explicit description of the ring D = D(A) of k-linear differential operators on A, the associated graded ring Gr D(A) and the module of derivations Der(k) (A). We also classify all graded D-modules which are finitely generated torsion-free A-modules of rank 1, considered as modules over the sub-ring A subset of or equal to D(A). (C) 2003 Elsevier Science (USA). All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: JOURNAL OF ALGEBRA
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN: 0021-8693
Date: 1 June 2003
Volume: 264
Number: 1
Number of Pages: 13
Page Range: pp. 186-198
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/9666

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