Skip to main content
Log in

The construction of a module of finite projective dimension from a finitely generated module of finite injective dimension

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Atiyah, M. F. andMacdonald, I. G.,Introduction to commutative algebra, 1st edit. (London, Addison Wesley 1969).

    MATH  Google Scholar 

  2. Bass, H.,On the ubiquity of Gorenstein rings, Math. Z.82 (1963), 8–28.

    Article  MathSciNet  Google Scholar 

  3. Cartan, H. andEilenberg, S.,Homological algebra, 1st edit. (Princeton, Princeton University Press 1956).

    MATH  Google Scholar 

  4. Hartshorne, R.,Residues and duality (Berlin-Heidelberg-New York: Springer (Lecture Notes in Mathematics No. 20) 1966).

    MATH  Google Scholar 

  5. Levin, G. andVasconcelos, V. W.,Homological dimensions and Macaulay rings, Pacific J. Math.25 (1968), 315–324.

    MathSciNet  Google Scholar 

  6. Northcott, D. G.,An introduction to homological algebra, 1st edit. (Cambridge, Cambridge University Press 1962).

    Google Scholar 

  7. Peskine, C. andSzpiro, L.,Dimension projective finie et cohomologie locale, Institut des Hautes Études Scientifiques, Publications Mathématiques,42 (1973), 323–395.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This research was supported by the U.S. National Science Foundation Grant NSF-GP7952X2 made to the Princeton Institute for Advanced Study.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharp, R.Y. The construction of a module of finite projective dimension from a finitely generated module of finite injective dimension. Commentarii Mathematici Helvetici 50, 15–26 (1975). https://doi.org/10.1007/BF02565729

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02565729

Keywords

Navigation