Skip to main content

Dimensions cohomologiques relieés aux foncteurs

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

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 867))

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.

Bibliographie

  1. Auslander, M.: Coherent functors, Proc. Conf. on Categorical algebra, La Jolla 1965, Springer-Verlag, 189–231.

    Google Scholar 

  2. Auslander, M. and Buchsbaum, D.: Homological dimension in Noetherian rings. II Trans. Amer. Math. Soc. 88 (1958), 194–206.

    MathSciNet  MATH  Google Scholar 

  3. Bass, H.: Injective dimension in Noetherian rings. Trans. Amer. Math. Soc. 102 (1962), 18–29.

    Article  MathSciNet  MATH  Google Scholar 

  4. Bourbaki, N.: Algèbre commutative, Chap. I–II, Hermann, Paris 196.

    Google Scholar 

  5. Bourbaki, N.: Algèbre commutative, Chap. V–VI, Hermann, Paris 1964.

    MATH  Google Scholar 

  6. Dlab, V. and Ringel, C.M.: Decomposition of modules over right uniserial rings, Math. Z. 129 (1972), 207–230.

    Article  MathSciNet  MATH  Google Scholar 

  7. Fuchs, L.: Infinite abelian groups, Vol. 1. Academic Press, New York, 1970.

    MATH  Google Scholar 

  8. Gabriel, P.: Catégories abéliennes, Bull. Soc. Math. France 90 (1962), 323–448.

    MathSciNet  MATH  Google Scholar 

  9. Gillman, L. and Jerison, M.: Rings of continuous functions, Van Nostrand, Princeton, 1960.

    Book  MATH  Google Scholar 

  10. Goblot, R.: Sur les dérivés de certaines limites projectives. Applications aux modules, Bull. Sci. Math. 94 (1970), 251–255.

    MathSciNet  MATH  Google Scholar 

  11. Gruson, L. et Jensen, C.U.: Modules algébriquement compacts et foncteurs , C.R. Acad. Sci. Paris 276 (1973), 1651–1653.

    MathSciNet  MATH  Google Scholar 

  12. Gruson, L. et Jensen, C.U.: Deux applications de la notion de L-dimension, C.R. Acad. Sci. Paris 282 (1976), 23–24.

    MathSciNet  MATH  Google Scholar 

  13. Gruson, L. et Raynaud, M.: Critères de platitude et de projectivité, Invent. Math. 13 (1971), 1–89.

    Article  MathSciNet  MATH  Google Scholar 

  14. Jensen, C.U.: Les foncteurs dérivés de et leurs applications en théorie des modules, Lect. Notes in Math. 254 (1972).

    Google Scholar 

  15. Lazard, D.: Autour de la platitude, Bull. Soc. Math. France 97 (1969), 81–128.

    MathSciNet  MATH  Google Scholar 

  16. Mitchell, B.: Rings with several objects, Advances in Math. 8 (1972), 1–161.

    Article  MathSciNet  MATH  Google Scholar 

  17. Roos, J.E.: Bidualité et structure des foncteurs dérivés de , C.R. Acad. Sci. Paris 254 (1962), 1556–1558.

    MathSciNet  MATH  Google Scholar 

  18. Roos, J.E.: Ibid., C.R. Acad. Sci. Paris 254 (1962), 1720–1722.

    MathSciNet  MATH  Google Scholar 

  19. Roos, J.E.: Locally Noetherian categories, Lect. Notes in Math. 92 (1969), 197–277.

    Article  Google Scholar 

  20. Warfield, R.B.: Purity and algebraic compactness for modules, Pac. J. Math. 28 (1969), 699–719.

    Article  MathSciNet  MATH  Google Scholar 

  21. Zimmermann, W.: Rein injektive direkte Summen von Moduln. Comm. Algebra 5 (1977), 1083–1117.

    Article  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

© 1981 Springer-Verlag

About this paper

Cite this paper

Gruson, L., Jensen, C.U. (1981). Dimensions cohomologiques relieés aux foncteurs . In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 867. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090389

Download citation

  • DOI: https://doi.org/10.1007/BFb0090389

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10841-2

  • Online ISBN: 978-3-540-38737-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics