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.
2000 Mathematics Subject Classification:
ACKNOWLEDGMENTS
I wish to thank V. Berkovich, V. Drinfeld, M. Hochster, L. Avramov, J.R. Strooker, A. M. Simon, Liran Shaul, and Marco Porta for discussions on this material. This research was supported by the Israel Science Foundation.
Notes
Communicated by S. Kleiman.