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

  • Ralf Fröberg
  • Tor Gulliksen
  • Clas Löfwall
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1183)


Local Ring Hilbert Series Jacobson Radical Artinian Algebra Whitehead Product 
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  1. [He]
    Herrmann G., Die Frage der endlich vielen Schritte in der Theorie der Polynomideale, Math. Ann. 95 (1926), 736–788.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [La]
    Lazard D., Algèbre linéaire sur K[X1,...,Xn], et élimination, Bull. Soc. Math. France 105 (1977) no. 2, 165–190.MathSciNetzbMATHGoogle Scholar
  3. [Le]
    Lemaire J.M., Algèbres connexes et homologies des Espaces des Lacets, Lect. Notes in Math. 422 (1979), Springer.Google Scholar
  4. [Le']
    Lemaire J.M., A finite complex whose rational homotopy is not finitely generated, Lect. Notes in Math. 196 (1971), 114–120, Springer.CrossRefzbMATHGoogle Scholar
  5. [Lö]
    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.zbMATHGoogle Scholar
  6. [Lö-Ro]
    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.zbMATHGoogle Scholar
  7. [Mo]
    Mount K.R., Fitting's invariants and a theorem of Grauert, Math. Ann. 203 (1973), 289–294.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [Ro]
    Roos J.-E., Homology of loop spaces and of local rings, Proc. 18th Scand. Congr. of Math., Progress in Math. 11 (1981), 441–468.MathSciNetGoogle Scholar
  9. [Se]
    Seidenberg A., Construction in algebra, Trans. Am. Math. Soc. 197 (1974), 273–313.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Ralf Fröberg
    • 1
  • Tor Gulliksen
    • 2
  • Clas Löfwall
    • 1
  1. 1.Department of MathematicsUniversity of StockholmStockholmSweden
  2. 2.Department of MathematicsUniversity of Oslo BlindernOslo 3Norway

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