Abstract
We give an elementary proof of Grothendieck's nonvanishing Theorem: For a finitely generated nonzero module M over a Noetherian local ring A with maximal ideal 𝔪, the local cohomology module is nonzero.
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2000 Mathematics Subject Classification:
ACKNOWLEDGMENT
The author owes an intellectual debt to Prof. K. D. Joshi who taught him that it is sometimes easier to prove stronger results by induction. He also thanks the referee for many pertinent comments.
Notes
Communicated by A. Singh.
Dedicated to Prof. K. D. Joshi.