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On endomorphism rings of local cohomology modules
Let $R$ be a local complete ring. For an $R$-module $M$ the canonical ring map $R\to \mathrm {End}_R(M)$ 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 $l\neq h$ $(=\mathrm {height} (I))$ ($I$ an ideal of …