A shape lemma for ideals of differential operators

We propose a version of the classical shape lemma for zero-dimensional ideals of a commutative multivariate polynomial ring to the noncommutative setting of zero-dimensional ideals in an algebra of differential operators.

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Publication Details

Journal
Journal of Algebra
Published
2025-04-22
DOI
https://doi.org/10.1016/j.jalgebra.2025.04.015
Primary Topic
Digital Image Processing Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

A shape lemma for ideals of differential operators

Manuel Kauers, Christoph Koutschan, Thibaut Verron
Journal of Algebra
Digital Image Processing Techniques
article

A shape lemma for ideals of differential operators

Manuel Kauers, Christoph Koutschan, Thibaut Verron
article en

Abstract

We propose a version of the classical shape lemma for zero-dimensional ideals of a commutative multivariate polynomial ring to the noncommutative setting of zero-dimensional ideals in an algebra of differential operators.

Journal of AlgebraVol. 677
Johannes Kepler University of Linz (AT), Austrian Academy of Sciences (AT), Johann Radon Institute for Computational and Applied Mathematics (AT)
Austrian Science Fund
Openalex Percentile: Top 93%
Digital Image Processing Techniques
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