Nakayama’s lemma for half-exact functors
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- by Arthur Ogus and George Bergman PDF
- Proc. Amer. Math. Soc. 31 (1972), 67-74 Request permission
Abstract:
We prove an analog of Nakayama’s Lemma, in which the finitely generated module is replaced by a half-exact functor from modules to modules. As applications, we obtain simple proofs of Grothendieck’s “property of exchange” for a sheaf of modules under base change, and of the “local criterion for flatness."References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 67-74
- MSC: Primary 13D99
- DOI: https://doi.org/10.1090/S0002-9939-1972-0302633-2
- MathSciNet review: 0302633