Skip to main content
SpringerLink
Log in

Homology of local flat extensions and complete intersection defects

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. André, M.: Homologie des algèbres commutatives. Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  2. Avramov, L.L.: On the Hopf algebra of a local ring. Izvestija Akad. Nauk SSSR, Ser. mat.38, 253–277 (1974); Math. USSR, Izv.8, 259–284 (1974)

    Google Scholar 

  3. Avramov, L.L.: Flat morphisms of complete intersections. Doklady Akad. Nauk SSSR225, 11–14 (1975); Soviet Math. Dokl.16, 1413–1417 (1975)

    Google Scholar 

  4. Ferrand, D., Raynaud, M.: Fibres formelles d'un anneau local noethérien. Ann. scient. Ec. Norm. Sup., 4e série3, 295–311 (1970)

    Google Scholar 

  5. Grothendieck, A.: Éléments de géométrie algèbrique, Chapitre IV. Publ. Math. IHES, Paris: No. 20 (1964); No. 24 (1965); No. 32 (1967)

  6. Gulliksen, T.H.: A homological characterization of local complete intersections. Compositio Math.23, 251–255 (1971)

    Google Scholar 

  7. Gulliksen, T.H.: A proof of the existence of minimalR-algebra resolutions. Acta Math.120, 53–58 (1968)

    Google Scholar 

  8. Gulliksen, T.H., Levin, G.: Homology of local rings. Queen's Papers in Pure and Applied Math. No. 20. Queen's University, Kingston, Ont., 1969

  9. Kiehl, R., Kunz, E.: Vollständige Durchschnitte undp-Basen. Arch. der Math.16, 348–362 (1965)

    Google Scholar 

  10. Nagata, M.: Local rings. New York: Interscience 1962

    Google Scholar 

  11. Tate, J.: Homology of Noetherian rings and local rings. Illinois J. Math.1, 14–27 (1957)

    Google Scholar 

  12. Vasconcelos, W.: Ideals generated byR-sequences. J. of Algebra6, 309–316 (1967)

    Google Scholar 

  13. Wolffhardt, K.: Die Betti-Reihe und die Abweichungen eines lokalen Rings. Math. Z.114, 66–78 (1970)

    Google Scholar 

  14. Wolffhardt, K.: Zur Homologietheorie assoziativen Algebren. Manuscr. Math.4, 149–168 (1971)

    Google Scholar 

  15. Lech, C.: Inequalities related to certain couples of local rings. Acta Math.112, 69–89 (1964)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, Bulgarian Academy, P.O. Box 373, BG-1000, Sofia, Bulgaria

    Luchezar L. Avramov

Authors
  1. Luchezar L. Avramov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Avramov, L.L. Homology of local flat extensions and complete intersection defects. Math. Ann. 228, 27–37 (1977). https://doi.org/10.1007/BF01360771

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01360771

Keywords

Search

Navigation