Skip to main content

Cohen-macaulay modules over isolated singularities

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

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1220))

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.99
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. Auslander M.: Functors and morphisms determined by objects. Applications of morphisms determined by modules. Proc. Conf. Representation theory, Philadelphia 1976, 1–244 and 245–327, Marcel Dekker 1978.

    Google Scholar 

  2. _____: Rational singularities and almost split sequences. Trans. Amer. Math. Soc. (to appear).

    Google Scholar 

  3. _____: Isolated singularities and existence of almost split sequences. Proc. ICRA IV, Ottawa, Springer Lecture Notes (to appear).

    Google Scholar 

  4. Auslander, M and Reiten, I: Representation theory of Artin algebras III: Almost split sequences, Comm. in Algebra, 3 (1975), 239–294.

    Article  MathSciNet  MATH  Google Scholar 

  5. _____: Representation theory of artin algebras IV: Comm. in Algebra 5 (1977), 443–518.

    Article  MathSciNet  MATH  Google Scholar 

  6. Bongartz, K. and Gabriel, P: Covering spaces in representation theory, Invent. Math. 65 (1981/82), No3, 331–378.

    Article  MathSciNet  MATH  Google Scholar 

  7. Gabriel, P.: The universal cover of a representation-finite algebra, Proc. ICRA III (Puebla 1980), Springer Lecture Notes 903 (1981), 69–105.

    Google Scholar 

  8. Herzog, J.: Ringe mit nur endlich vielen Isomorphieklassen von maximalen, unzerlegbaren Cohen-Macaulay-Modulen Math. Ann. 233 (1978), 21–34.

    Article  MathSciNet  Google Scholar 

  9. Knörrer, H.: The Cohen-Macaulay modules over simple hypersurface singularities.

    Google Scholar 

  10. Reiten, I: The use of almost split sequences in the representation theory of Artin algebras, Proc. ICRA III (Puebla 1980), Springer Lecture Notes 944 (1981), 29–104.

    Google Scholar 

  11. Roggenkamp, K. and Schmidt, J.: Almost split sequences for integral group rings and orders, Comm. in Algebra 4 (1976), 893–917.

    Article  MathSciNet  MATH  Google Scholar 

  12. Wiedemann, A.: Orders with loops in their Auslander-Reiten graph, Comm. Algebra 9 (1981), No6, 641–659.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Marie-Paule Malliavin

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Reiten, I. (1986). Cohen-macaulay modules over isolated singularities. In: Malliavin, MP. (eds) Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin. Lecture Notes in Mathematics, vol 1220. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099503

Download citation

  • DOI: https://doi.org/10.1007/BFb0099503

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17185-0

  • Online ISBN: 978-3-540-47255-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics