No abstract

No abstract

Abstract. Let R be a local complete ring. For an R-module M the canonical ring map R → End R (M ) is in general neither injective nor surjective; we show that it is bijective for every local cohomology module M := H h I (R) if H l I (R) = 0 for every l = h (= height(I)) (I an ideal of R); furthermore the same holds for the Matlis dual of such a module. As an application we prove new criteria for an ideal to be a set-theoretic complete intersection.

No abstract

No abstract