Skip to main content

On the number of terms in the middle of an almost split sequence

  • Conference paper
  • First Online:
Representations of Algebras

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 903))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Bautista, R. Sections in Auslander-Reiten quivers. In Representation Theory II, Springer Lecture Notes 832, (1980), 74–96.

    Google Scholar 

  2. Bongartz, K. Acknowledged in Ref. 5.

    Article  MATH  Google Scholar 

  3. Dlab, V. and Ringel, C.M. Indecomposable representations of graphs and algebras. Memoirs Amer. Math. Soc. 173 (1976).

    Google Scholar 

  4. Harada, M. and Sai, Y. On categories of indecomposable modules I. Osaka J. Math. 7 (1970), 323–344.

    MathSciNet  MATH  Google Scholar 

  5. Riedtmann, Ch. Algebren, Darstellungsköcher, Überlagerungen und Zurück. Comm. Math. Helvetici 55, (1980), 199–224.

    Article  MathSciNet  MATH  Google Scholar 

  6. Ringel, C.M. Private Communication.

    Google Scholar 

  7. Ringel, C.M. Report on the Brauer-Thrall conjectures. In Representation Theory I, Springer Lecture Notes 831, (1980), 104–136.

    Google Scholar 

  8. Roiter, A.V. The unboundedness of the dimension of the indecomposable representations of algebras that have a finite number of indecomposable representations. Izv. Acad. Nauk SSSR 32 (1968), 1275–1282.

    MathSciNet  Google Scholar 

  9. Todorov G. Almost split sequences for trD-periodic modules. In Representation Theory II, Springer Lecture Notes 832, (1980), 600–631.

    Google Scholar 

Download references

Authors

Editor information

Maurice Auslander Emilo Lluis

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Bautista, R., Brenner, S. (1981). On the number of terms in the middle of an almost split sequence. In: Auslander, M., Lluis, E. (eds) Representations of Algebras. Lecture Notes in Mathematics, vol 903. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092980

Download citation

  • DOI: https://doi.org/10.1007/BFb0092980

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11179-5

  • Online ISBN: 978-3-540-38963-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics