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Proceedings of the American Mathematical Society 140, 1 (2012) 119-128
Locally nilpotent derivations with a PID ring of constants
Moulay A. Barkatou 1, M'Hammed El Kahoui 2
(2012)

Let be a commutative field of characteristic zero, be a domain containing and be a locally nilpotent -derivation of . We give in this paper a description of the differential -algebra under the assumptions that the ring of constants of is a PID, is fixed point free and its special fibers are reduced.
1 :  XLIM (XLIM)
CNRS : UMR7252 – Université de Limoges
2 :  Department of Mathematics, Faculty of Sciences Semlalia
UNIVERSITE CADI AYYAD
DMI
Locally nilpotent derivation – Plinth ideal – affine modification