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A note on locally nilpotent derivations

By Miguel Ferrero, Yves Lequain and Andrzej Nowicki

Abstract

AbstractLet R be a commutative reduced, Z-torsion free ring. Let d and δ be two locally nilpotent derivations of R which commute, a an element of R. We prove that the derivation ad + δ is locally nilpotent if and only if d(a) = 0

Publisher: Published by Elsevier B.V.
Year: 1992
DOI identifier: 10.1016/0022-4049(92)90125-Y
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