Skip to main content

Flat families of local, artinian algebras with an infinite number of Poincaré series

  • Conference paper
  • First Online:
Algebra, Algebraic Topology and their Interactions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1183))

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 59.95
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. Herrmann G., Die Frage der endlich vielen Schritte in der Theorie der Polynomideale, Math. Ann. 95 (1926), 736–788.

    Article  MathSciNet  MATH  Google Scholar 

  2. Lazard D., Algèbre linéaire sur K[X1,...,Xn], et élimination, Bull. Soc. Math. France 105 (1977) no. 2, 165–190.

    MathSciNet  MATH  Google Scholar 

  3. Lemaire J.M., Algèbres connexes et homologies des Espaces des Lacets, Lect. Notes in Math. 422 (1979), Springer.

    Google Scholar 

  4. Lemaire J.M., A finite complex whose rational homotopy is not finitely generated, Lect. Notes in Math. 196 (1971), 114–120, Springer.

    Article  MATH  Google Scholar 

  5. Löfwall C., Une algèbre nilpotente dont la série de Poincaré-Betti est non rationelle, C.R. Acad. Sc. Paris 288 (1979), sér. A, 327–330.

    MATH  Google Scholar 

  6. Löfwall C. et Roos J.-E., Cohomologie des algèbres de Lie graduées et séries de Poincaré-Betti non rationelles, C.R. Acad. Sc. Paris 290 (1980), sér. A, 733–736.

    MATH  Google Scholar 

  7. Mount K.R., Fitting's invariants and a theorem of Grauert, Math. Ann. 203 (1973), 289–294.

    Article  MathSciNet  MATH  Google Scholar 

  8. Roos J.-E., Homology of loop spaces and of local rings, Proc. 18th Scand. Congr. of Math., Progress in Math. 11 (1981), 441–468.

    MathSciNet  Google Scholar 

  9. Seidenberg A., Construction in algebra, Trans. Am. Math. Soc. 197 (1974), 273–313.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jan-Erik Roos

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Fröberg, R., Gulliksen, T., Löfwall, C. (1986). Flat families of local, artinian algebras with an infinite number of Poincaré series. In: Roos, JE. (eds) Algebra, Algebraic Topology and their Interactions. Lecture Notes in Mathematics, vol 1183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075457

Download citation

  • DOI: https://doi.org/10.1007/BFb0075457

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16453-1

  • Online ISBN: 978-3-540-39790-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics