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A note on flabby sheaves

Published online by Cambridge University Press:  17 April 2009

Richard A. Levaro
Richard A. Levaro
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA.
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Abstract

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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

References

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