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arxiv: 0902.4378 · v4 · submitted 2009-02-25 · 🧮 math.AC · math.AG

On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings

Amnon Yekutieli This is my paper
classification 🧮 math.AC math.AG
keywords flatnessgeneratedinfinitelynoetheriana-modulea-modulescommutativecompleteness
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Let A be a noetherian commutative ring, and let I be an ideal in A. We study questions of flatness and I-adic completeness for infinitely generated A-modules. This is done using the notions of decaying function and I-adically free A-module.

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