On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings

By Amnon Yekutieli. 2009

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Let A be a noetherian commutative ring, and let 𝔞 be an ideal in A. We study questions of flatness and 𝔞-adic completeness for infinitely generated A-modules. This is done using the notions of decaying function and 𝔞-adically free A-module.

Subfields: Algebra and Number Theory, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2551d14c2132a684c2d413b8b89b9f979d21ec8f