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Golod homomorphisms

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

Keywords

  • Exact Sequence
  • Spectral Sequence
  • Local Ring
  • Formal Power Series
  • Grade Vector Space

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References

  1. L.L. Avramov, Small homomorphisms of local rings. J. Algebra 50 (1978), 400–453.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. L.L. Avramov, Free Lie subalgebras of the cohomology of local rings. Trans. Amer. Math. Soc. 270 (1982), 589–608.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. L.L. Avramov, Local algebra and rational homotopy, in Proceedings of the conference "Méthodes d'algèbre homotopique en topologie", In Homotopie Algébrique et Algèbre Locale, Astérisque 113/114 (1984), 15–43.

    MathSciNet  Google Scholar 

  4. L.L. Avramov, Homotopy Lie algebras for commutative rings and DG algebras. To appear.

    Google Scholar 

  5. J. Backelin, Golod attached rings with few relations (III). Reports, Dept. of Math., Univ. of Stockholm, No. 13, 1983.

    Google Scholar 

  6. H. Cartan, Algèbres d'Eilenberg-MacLane (Séminaire ENS, 1954–1955, Exposés 2 à 11), in Oeuvres, Volume III 1309–1394, Springer-Verlag, Berlin, 1979.

    Google Scholar 

  7. E.S. Golod, On the homologies of certain local rings. Dokl. Akad. Nauk SSSR 144 (1962), 479–482 (in Russian); English translation: Soviet Math. Dokl. 3 (1962), 745–748.

    MathSciNet  Google Scholar 

  8. T.H. Gulliksen, Massey operations and the homology of certain local rings. J. Algebra 22 (1972), 223–232.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. V.K.A.M. Gugenheim and J.P. May, On the theory and applications of differential torsion products. Memoirs Amer. Math. Soc. 142 (1974).

    Google Scholar 

  10. J.-M. Lemaire, Algèbres connexes et homologie des éspaces de lacets. Lecture Notes in Math. 422, Springer-Verlag, Berlin, 1974.

    CrossRef  MATH  Google Scholar 

  11. G. Levin, Local rings and Golod homorphisms. J. Algebra 37 (1975), 266–289.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. G. Levin, Lectures on Golod homomorphisms. Reports, Dept. Math., Univ. of Stockholm, No. 15, 1976.

    Google Scholar 

  13. G. Levin, Large homomorphisms of local rings. Math. Scand. 46 (1980), 209–215.

    MathSciNet  MATH  Google Scholar 

  14. C. Löfwall, On the subalgebra generated by the one-dimensional elements of the Yoneda Ext-algebra. These proceedings.

    Google Scholar 

  15. J.P. May, Matric Massey products. J. Algebra 12 (1969), 533–568.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. J.C. Moore, Algèbre homologique et homologie des éspaces classifiants. Séminaire H. Cartan, ENS 1959–1960, Exposé 7, Secrétariat Math., Paris, 1961.

    MATH  Google Scholar 

  17. J.-E. Roos, Homology of loop spaces and of local rings. 18th Scandinavian Congress of Mathematics, Proceedings 1980, 441–468, Kirkhäuser, Basel, 1981.

    Google Scholar 

  18. D. Tanré, Homotopie rationnelle: Modèles de Chen, Quillen, Sullivan. Lecture Notes in Math. 1025, Springer-Verlag, Berlin, 1983.

    CrossRef  MATH  Google Scholar 

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© 1986 Springer-Verlag

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Avramov, L.L. (1986). Golod homomorphisms. In: Roos, JE. (eds) Algebra, Algebraic Topology and their Interactions. Lecture Notes in Mathematics, vol 1183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075450

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  • DOI: https://doi.org/10.1007/BFb0075450

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  • Print ISBN: 978-3-540-16453-1

  • Online ISBN: 978-3-540-39790-8

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