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Dualizing complexes for commutative Noetherian rings

Published online by Cambridge University Press:  24 October 2008

Rodney Y. Sharp
Rodney Y. Sharp
Affiliation:
University of Sheffield
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Extract

The theory of dualizing complexes of Grothendieck and Hartshorne ((5), chapter v) has turned out to be a useful tool even in commutative algebra. For instance, Peskine and Szpiro used dualizing complexes in their (partial) solution of Bass's conjecture concerning finitely-generated (f.-g.) modules of finite injective dimension over a Noetherian local ring ((7), chapitre I, §5); and the present author first obtained the results in (9) by using dualizing complexes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 78 , Issue 3 , November 1975 , pp. 369 - 386
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

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