GENERALIZATION OF McCONNELL’S THEOREM IN PRIME CHARACTERISTIC

Let be a field and be an ideal of the polynomial algebra in variables. If is a (commutative) -algebra, then we denote by the algebra of differential operators on the algebra . McConnell and Robson showed that in characteristic zero, the algebra of differential operators on a commutative -algebra of finite type is isomorphic to a quotient of a subalgebra of the algebra of differential operators on a polynomial algebra, i.e., In this paper, we generalize this result of McConnell and Robson in prime characteristic.