TY - JOUR
T1 - A characteristic-free proof of a basic result on D-modules
AU - Lyubeznik, Gennady
PY - 2011/8
Y1 - 2011/8
N2 - Let k be a field, let R be a ring of polynomials in a finite number of variables over k, let D be the ring of k-linear differential operators of R and let fεR be a non-zero element. It is well-known that Rf, with its natural D-module structure, has finite length in the category of D-modules. We give a characteristic-free proof of this fact. To the best of our knowledge this is the first characteristic-free proof.
AB - Let k be a field, let R be a ring of polynomials in a finite number of variables over k, let D be the ring of k-linear differential operators of R and let fεR be a non-zero element. It is well-known that Rf, with its natural D-module structure, has finite length in the category of D-modules. We give a characteristic-free proof of this fact. To the best of our knowledge this is the first characteristic-free proof.
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U2 - 10.1016/j.jpaa.2010.11.012
DO - 10.1016/j.jpaa.2010.11.012
M3 - Article
AN - SCOPUS:79952487055
VL - 215
SP - 2019
EP - 2023
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 8
ER -