Skip to main content

Homological dimensions of complexes of modules

  • Conference paper
  • First Online:
Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 795))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. Buchsbaum and D. Eisenbud, What makes a complex exact? J. Algebra 25 (1973), 259–268.

    Article  MathSciNet  MATH  Google Scholar 

  2. H.-B. Foxby, On the μi in a minimal injective resolution II, Math. Scand. 41 (1977), 19–44.

    MathSciNet  MATH  Google Scholar 

  3. H.-B. Foxby, Bounded complexes of flat modules, to appear in J. Pure Appl. Algebra (1979).

    Google Scholar 

  4. P. Griffith, A representation theorem for complete local rings, J. Pure Appl. Algebra 7 (1976), 303–315.

    Article  MathSciNet  MATH  Google Scholar 

  5. R. Hartshorne, Residues and Duality (Lecture Notes Math. 20), Springer-Verlag, Berlin, Heidelberg, New York, 1966.

    MATH  Google Scholar 

  6. M. Hochster, Topics in the homological theory of modules over commutative rings (C.B.M.S. Regional Conf. Ser. Math. 24), Amer. Math. Soc., Providence, 1976.

    MATH  Google Scholar 

  7. B. Iversen, Amplitude Inequalities for Complexes, Ann. scient. Éc. Norm. Sup. (4) 10 (1977), 547–558.

    MathSciNet  MATH  Google Scholar 

  8. B. Iversen, Depth Inequalities for Complexes, (Proceedings, Algebraic Geometry, Tromsø (1977), 91–111) (Lectures Notes Math. 687) Springer-Verlag, Berlin, Heidelberg, New York, 1978.

    MATH  Google Scholar 

  9. B. Iversen, Cohomology of Sheaves, manuscript, Aarhus Universitet.

    Google Scholar 

  10. D. G. Northcott, Finite Free Resolutions, Cambridge Tracts Math. 71, Cambridge Univ. Press, Cambridge, 1976.

    Book  MATH  Google Scholar 

  11. C. Peskine and L. Szpiro, Dimension projective finite et cohomologie locale, Publ. Math. I.H.E.S. 42 (1973), 49–119.

    Article  MATH  Google Scholar 

  12. C. Peskine and L. Szpiro, Syzygies et multiplicités, C. R. Acad. Sci. Paris Sér. A 278 (1978), 1421–1424.

    MathSciNet  MATH  Google Scholar 

  13. R. Roberts, Two applications of dualizing complexes over local rings, Ann. scient. Éc. Norm. Sup. (4) 9 (1976), 103–106.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marie-Paule Malliavin

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Foxby, HB. (1980). Homological dimensions of complexes of modules. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 795. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090128

Download citation

  • DOI: https://doi.org/10.1007/BFb0090128

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09980-2

  • Online ISBN: 978-3-540-39230-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics