On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings |
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| Authors: | Amnon Yekutieli |
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| Institution: | 1. Department of Mathematics , Ben Gurion University , Be'er Sheva, Israel amyekut@math.bgu.ac.il |
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| Abstract: | 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. |
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| Keywords: | Completion Flat module Free module Noetherian ring |
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