Skip to main content

Uniserial functors

  • Conference paper
  • First Online:
Representation Theory II

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 832))

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. Auslander, M.: Functors and morphisms determined by objects. Proc.Conf.Temple Univ.1976. Lecture Notes in Pure and Applied Math. Vol.37, M.Dekker, N.Y.1978.

    MATH  Google Scholar 

  2. Auslander, M.: Applications of morphisms determined by modules. Proc.Conf. Temple Univ.1976. Lecture Notes in Pure and Applied Math. Vol. 37, M.Dekker, N.Y. 1978.

    MATH  Google Scholar 

  3. Auslander, M., Reiten I.: Stable equivalence of artin algrbras, Conf.on orders, group rings and related topics. Springer-Verlag 353, 8–71 (1973).

    Google Scholar 

  4. Auslander, M., Reiten I.: Stable equivalence of dualizing R-varieties. Adv.in Math. Vol.12, No.3, 306–366 (1974).

    Article  MathSciNet  MATH  Google Scholar 

  5. Auslander, M., Reiten, I.: Representation theory of artin algebras III: Almost split sequences. Comm.in Algebra, Vol.3, No.3, 239–294 (1975)

    Article  MathSciNet  MATH  Google Scholar 

  6. Auslander, M., Reiten, I.: Representation theory of artin algebras IV: Invariants given by almost split sequences. Comm.in Algebra 5, 443–518 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  7. Auslander, M., Reiten, I.: Representation theory of artin algebras V: Methods for computing almost split sequences and irreducible morphisms. Comm.in Algebra 5, 519–554 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  8. Auslander, M., Reiten, I.: Representation theory of artin algebras VI: A functorial approach to almost split sequences. Comm.in Algebra 11,279–291 (1977)

    MathSciNet  MATH  Google Scholar 

  9. Auslander, M., Smalø, S.: Preprojective modules: An introduction and some applications. These Proceedings.

    Google Scholar 

  10. Butler, M., Shahzamanian: The construction of almost split sequences III: Modules over two classes of tame local algebras.

    Google Scholar 

  11. Gabriel, P., Riedtmann, C.: Group representations without groups. Comm.Math.Helvetici 54, 240–287 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  12. Martinez, R.: Algebras stably equivalent to 1-hereditary algebras. These Proceedings.

    Google Scholar 

  13. Platzeck, M.I.: On algebras stably equivalent to an hereditary algebra, Can.J.Math. 30, No.4, 817–829 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  14. Reiten, I.: A note on stable equivalence and Nakayama algebras. Proc.Amer.Math.Soc. 71,2, 157–163 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  15. Reiten, I.: Almost split sequences, Proc. Antwerp Ring Theory Conference 1978.

    Google Scholar 

  16. Riedtmann, C.: Algebren, Darstellungsköcher, Überlagerungen und zurück.

    Google Scholar 

  17. Tachikawa, H.: On rings for which every indecomposable right module has a unique maximal submodule. Math.Z.71, 200–222 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  18. Tachikawa,H.: Balancedness and left serial algebras of finite type. Proc.ICRA 1974, Springer Lecture Notes 488, 351–378 (1975)

    Google Scholar 

  19. Todorov, G.: Almost split sequences in the representation theory of certain classes of artin algebras, Ph.D.Thesis, Brandeis Univ.(1978)

    Google Scholar 

  20. Todorov, G.: Almost split sequences for TrD-periodic modules. These Proceedings.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Vlastimil Dlab Peter Gabriel

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Auslander, M., Reiten, I. (1980). Uniserial functors. In: Dlab, V., Gabriel, P. (eds) Representation Theory II. Lecture Notes in Mathematics, vol 832. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088457

Download citation

  • DOI: https://doi.org/10.1007/BFb0088457

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10264-9

  • Online ISBN: 978-3-540-38387-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics