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- W1978604020 abstract "Motivated by work of C. U. Jensen, R.-O. Buchweitz, and H. Flenner, we prove the following result. Let $R$ be a commutative noetherian ring and $mathfrak {a}$ an ideal in the Jacobson radical of $R$. Let $widehat {mathfrak {Ra}}$ be the $mathfrak {a}$-adic completion of $R$. If $M$ is a finitely generated $R$-module such that $operatorname {Ext}^i_R( M)=0$ for all $ineq 0$, then $M$ is $mathfrak {a}$-adically complete." @default.
- W1978604020 created "2016-06-24" @default.
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- W1978604020 date "2008-02-28" @default.
- W1978604020 modified "2023-09-30" @default.
- W1978604020 title "Detecting completeness from Ext-vanishing" @default.
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- W1978604020 doi "https://doi.org/10.1090/s0002-9939-08-09199-5" @default.
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