Homomorphismes d'anneaux locaux et homologie

  • Luchezar L. Avramov
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 740)


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. A 1.
    L.L. AVRAMOV-On the Hopf algebra of a local ring-Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974), 253–277; Math. USSR-Izv. 8 (1974), 259–284MathSciNetMATHGoogle Scholar
  2. A 2.
    L.L. AVRAMOV-Small homomorphisms of local rings-J. Algebra 50 (1978), 400–453MathSciNetCrossRefMATHGoogle Scholar
  3. A 3.
    L.L. AVRAMOV — Poincaré series of almost complete intersections of embedding dimension three — Pliska (Studia Math. Bulg.) 2 (1979) sous presse.Google Scholar
  4. B-E 1.
    D.A. BUCHSBAUM and D. EISENBUD-Generic free resolutions and a family of generically perfect ideals-Advances in Math. 18 (1975), 245–301MathSciNetCrossRefMATHGoogle Scholar
  5. B-E 2.
    D.A. BUCHSBAUM and D. EISENBUD-Algebra structures for finite free resolutions, and some structure theorems for ideals of codimension 3-Amer. J. Math. 99 (1977), 447–485MathSciNetCrossRefMATHGoogle Scholar
  6. B-F.
    J. BACKELIN and R. FRÖBERG — "A note on Poincaré series",— Matematiska Institutionen, Stockholms Universitet, Preprint no12 (1976)Google Scholar
  7. B-R 1.
    D.A. BUCHSBAUM and D.S. RIM-A generalized Koszul complex. II. Depth and multiplicity-Trans. Amer. Math. Soc. 111 (1964), 197–224MathSciNetCrossRefMATHGoogle Scholar
  8. B-R 2.
    D.A. BUCHSBAUM and D.S. RIM-A generalized Koszul complex. III. A remark on generic acyclicity-Proc. Amer. Math. Soc. 16 (1965), 555–558MathSciNetCrossRefMATHGoogle Scholar
  9. Buc.
    D.A. BUCHSBAUM-A generalized Koszul complex. I-Trans. Amer. Math. Soc. 111 (1964), 183–196MathSciNetCrossRefMATHGoogle Scholar
  10. F 1.
    R. FRÖBERG-Determination of a class of Poincaré series-Math. Scand. 37 (1975), 29–39MathSciNetMATHGoogle Scholar
  11. F 2.
    R. FRÖBERG — "Two notes on squarefree monomial rings" — Matematiska Institutionen, Stockholms Universitet, Preprint no 13 (1977)Google Scholar
  12. Gol.
    E.S. GOLOD-On the homology of certain local rings (en Russe)-Uspekhi Mat. Nauk 33, no 5 (1978), 177–178MathSciNetMATHGoogle Scholar
  13. Gul.
    T.H. GULLIKSEN-A homological characterization of local complete intersections-Compositio Math. 23 (1971), 251–255MathSciNetMATHGoogle Scholar
  14. H 1.
    M. HOCHSTER-Generically perfect modules are strongly generically perfect-Proc. London Math. Soc. (3) 23 (1971), 477–488MathSciNetCrossRefMATHGoogle Scholar
  15. H 2.
    M. HOCHSTER-Grade-sensitive modules and perfect modules-Proc. London Math. Soc. (3) 29 (1974), 55–76MathSciNetCrossRefMATHGoogle Scholar
  16. Her.
    J. HERZOG-Certain complexes associated to a sequence and a matrix-Manuscr. Math. 12 (1974), 217–248MathSciNetCrossRefMATHGoogle Scholar
  17. H-S.
    J. HERZOG and M. STEURICH — Two applications of change of rings theorems — Proc. Amer. Math. Soc., to appear.Google Scholar
  18. Kos-S.
    A.I. KOSTRIKIN and I.R. SHAFAREVICH-Homology groups of nilpotent algebras-(en Russe) Dokl. Akad. Nauk SSSR 115 (1957), 1066–1069MATHGoogle Scholar
  19. Kra-S.
    D. KRAINES and C. SCHOCHET-Differentials in the Eilenberg-Moore spectral sequence-J. Pure Appl. Algebra 2 (1972), 131–148MathSciNetCrossRefMATHGoogle Scholar
  20. Lev.
    G. LEVIN-Local rings and Golod homomorphisms-J. Algebra 37 (1975), 266–289MathSciNetCrossRefMATHGoogle Scholar
  21. Löf.
    C. LÖFWALL-"On the subalgebra generated by the one-dimensional elements in the Yoneda Ext-algebra"-Matematiska Institutionen, Stockholms Universitet, Preprint no 5, (1976).Google Scholar
  22. N 1.
    D.G. NORTHCOTT-A homological investigation of a certain residual ideal-Math. Ann. 150 (1963), 99–110MathSciNetCrossRefMATHGoogle Scholar
  23. N 2.
    D.G. NORTHCOTT-Some remarks on the theory of ideals defined by matrices-Quart. J. Math. Oxford (2) 14 (1963), 193–204MathSciNetCrossRefMATHGoogle Scholar
  24. N 3.
    D.G. NORTHCOTT-Grade sensitivity and generic perfection-Proc. London Math. Soc. (3) 20 (1970), 597–618MathSciNetCrossRefMATHGoogle Scholar
  25. P-S.
    C. PESKINE et L. SZPIRO-Dimension projective finie et cohomologie locale-Publ. Math. THES 42 (1973), 47–119MathSciNetCrossRefMATHGoogle Scholar
  26. Sch.
    G. SCHEJA-Über die Bettizahlen lokaler Ringe-Math. Ann. 155 (1964), 155–172MathSciNetCrossRefMATHGoogle Scholar
  27. Sha.
    J. SHAMASH-The Poincaré series of a local ring-J. Algebra, 12 (1969), 453–470MathSciNetCrossRefMATHGoogle Scholar
  28. T.
    J. TATE-Homology of Noetherian rings and local rings-Illinois J. Math. 1 (1957), 14–27MathSciNetMATHGoogle Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Luchezar L. Avramov
    • 1
  1. 1.Institute of MathematicsBulgarian Academy of SciencesSofiaBulgaria

Personalised recommendations