Injective Dimension of Weyl Algebras over Affine Coefficient Rings

<正> The concern of this paper is to derive formulas for the injective dimension of the n-thWeyl algebra A_n（R）in case k is a field of characteristic zero and R is a commutative affine k-algebraof finite injective dimension.For the case n=1 we prove a more general result from which the aboveresult follows.Such formulas can be viewed as generalizations of the corresponding results given byJ.C.McConnell in the case R has finite global dimension.