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.

UR - http://www.scopus.com/inward/record.url?scp=79952487055&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79952487055&partnerID=8YFLogxK

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 -