Skip to main content

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 734))

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. M. Auslander, Representation theory of artin algebras II, Comm. in Algebra 1(1974), 269–310.

    Article  MathSciNet  MATH  Google Scholar 

  2. M. Auslander and M. Bridger, Stable module theory, Mem. Amer. Math. Soc. 94(1969).

    Google Scholar 

  3. M. Auslander, E.L. Green and I. Reiten, Modules with waists, Illinois J. Math. 19(1975), 467–478.

    MathSciNet  MATH  Google Scholar 

  4. G. Birkhoff, Lattice theory, Amer. Math. Soc. Colloq. Publ. Vol. 25, 3rd Edition. Providence (1966).

    Google Scholar 

  5. V.P. Camillo, Distributive modules, J. Algebra 36(1975), 16–25.

    Article  MathSciNet  MATH  Google Scholar 

  6. V. Dlab and C.M. Ringel, On algebras of finite representation type, J. Algebra 33(1975), 306–394.

    Article  MathSciNet  MATH  Google Scholar 

  7. V. Dlab and C.M. Ringel, Indecomposable representations of graphs and algebras, Mem. Amer. Math. Soc. No. 173, 6(1976).

    Google Scholar 

  8. S.E. Dickson and K.R. Fuller, Algebras for which every indecomposable right module is invariant in its injective envelope, Pacific J. Math. 31(1969), 655–658.

    Article  MathSciNet  MATH  Google Scholar 

  9. K.R. Fuller, On indecomposable injectives over artinian rings, Pacific J. Math. 29(1969), 115–135.

    Article  MathSciNet  MATH  Google Scholar 

  10. K.R. Fuller, On a generalization of serial rings, Proc. of the Philadelphia Conference on Re. Thy., Dekker: Lect. Notes in Pure and Appl. Math. Vol. 37(1978), 359–368.

    MathSciNet  Google Scholar 

  11. K.R. Fuller, Weakly symmetric rings of distributive module type, Comm. in Algebra 5(1977), 997–1008.

    Article  MathSciNet  MATH  Google Scholar 

  12. K.R. Fuller, Rings of left invariant module type, Comm. in Algebra 6(1978), 153–167.

    Article  MathSciNet  MATH  Google Scholar 

  13. K.R. Fuller and J. Haack, Rings with quivers that are trees, Pacific J. Math., to appear.

    Google Scholar 

  14. R. Gordon and E.L. Green, Modules with cores and amalgamations of indecomposable modules, Mem. Amer. Math. Soc. No. 187, 6(1976).

    Google Scholar 

  15. G.J. Janusz, Indecomposable modules for finite groups, Ann. of Math. 89(1969), 209–241.

    Article  MathSciNet  MATH  Google Scholar 

  16. G.J. Janusz, Some left serial algebras of finite type, J. Algebra 23(1972), 404–411.

    Article  MathSciNet  MATH  Google Scholar 

  17. W. Müller, On artin rings of finite representation type, Proceedings of the International Conference on Representations of Algebras, Carleton University. Springer-Verlag: Lecture Notes in Math. 488(1975).

    Google Scholar 

  18. T. Nakayama, On Frobeniusean algebras II, Ann. of Math. 42(1941), 1–22.

    Article  MathSciNet  MATH  Google Scholar 

  19. T. Nakayama, Note on uniserial and generalized uniserial rings, Proc. Imp. Acad. Japan 16(1940), 285–289.

    Article  Google Scholar 

  20. M.I. Platzeck, Representation theory of algebras stably equivalent to an hereditary artin algebra, to appear.

    Google Scholar 

  21. M.I. Platzeck and M. Auslander, Representation theory of hereditary artin algebras, Proc. of the Philadelphia Conference on Rep. Thy., Dekker: Lect. Notes in Pure and Appl. Math., Vol. 37(1978), 389–424.

    MathSciNet  MATH  Google Scholar 

  22. I. Reiten, Amost split sequences for group algebras of finite representation type, to appear.

    Google Scholar 

  23. L.A. SKornjakov, When are all modules semi-chained?, Mat. Zametki 5(1969), 173–182.

    MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  25. H. Tachikawa, On algebras of which every indecomposable representation has an irreducible one as the top or the bottom Loewy constituent, Math. Z. 75(1961), 215–227.

    Article  MathSciNet  MATH  Google Scholar 

  26. R.B. Warfield, Jr., Serial rings and finitely presented modules, J. Algebra 37(1975), 187–222.

    Article  MathSciNet  MATH  Google Scholar 

  27. M. Auslander, M.I. Platzeck and I. Reiten, Coxeter functors without diagrams, to appear.

    Google Scholar 

  28. J. Haack, Self-duality and serial rings, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

David Handelman John Lawrence

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Fuller, K.R. (1979). Biserial rings. In: Handelman, D., Lawrence, J. (eds) Ring Theory Waterloo 1978 Proceedings, University of Waterloo, Canada, 12–16 June, 1978. Lecture Notes in Mathematics, vol 734. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103154

Download citation

  • DOI: https://doi.org/10.1007/BFb0103154

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09529-3

  • Online ISBN: 978-3-540-35043-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics