A NOTE ON LOCALLY NILPOTENT DERIVATIONS

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

[发布日期] 1992-05-14