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A note on flabby sheaves
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that any sheaf of R˜-modules, all of whose stalks are injective, is necessarily a flabby sheaf. This generalizes the result or Grothendieck that the sheaf M˜ determined by an injective module M over a commutative noetherian ring with 1 is flabby.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 7 , Issue 3 , December 1972 , pp. 387 - 389
- Copyright
- Copyright © Australian Mathematical Society 1972
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