Skip to main content
SpringerLink
Log in

Gorenstein rings and modules with high numbers of generators

  • Published:
Mathematische Zeitschrift 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. Achilles, R., Vogel, W.: Über vollständige Durchschnitte in lokalen Ringen. Math. Nachr.89, 285–298 (1979)

    Google Scholar 

  2. Brodmann, M.: The asymptotic nature of analytic spread. Math. Proc. Camb. Phil. Soc.86, 35–39 (1979)

    Google Scholar 

  3. Buchweitz, R.-O.: Contributions à la théorie des singularités. Thesis, University of Paris, 1981

  4. Cowsik, R.C., Nori, M.V.: On the fibres of blowing up. J. Ind. Math. Soc.40, 217–222 (1976)

    Google Scholar 

  5. Eisenbud, D., Goto, S.: Linear free resolutions and minimal multiplicity, with appendix, Almost-linear resolutions in the Artinian case, by D.A. Buchsbaum and D. Eisenbud, preprint

  6. Herzog, J.: Ein Cohen-Macaulay-Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul. Math. Z.163, 149–162 (1978)

    Google Scholar 

  7. Herzog, J.: Deformationen von Cohen-Macaulay Algebren. J. reine u. angew. Math.318, 83–105 (1980)

    Google Scholar 

  8. Herzog, J., Kunz, E.: Der kanonische Modul eines Cohen-Macaulay-Rings. Lect. Notes in Math.238. Berlin Heidelberg New York: Springer 1971

    Google Scholar 

  9. Herzog, J., Kühl, M.: On the Betti numbers of finite pure and linear resolutions, preprint

  10. Murthy, M.: A note on factorial rings. Arch. Math.15, 418–420 (1964)

    Google Scholar 

  11. Northcott, D.C.: Lessons on rings, modules and multiplicities. Cambridge: Univ. Press 1968

    Google Scholar 

  12. Northcott, D.C., Rees, D.: Reductions of ideals in local rings. Proc. Camb. Phil. Soc.50, 145–158 (1954)

    Google Scholar 

  13. Rego, C.J.: A note on one dimensional Gorenstein rings. J. Pure and Appl. Alg.12, 111–115 (1978)

    Google Scholar 

  14. Sally, J.: Bounds for numbers of generators of Cohen-Macaulay ideals. Pacific J. Math.63, 517–520 (1976)

    Google Scholar 

  15. Sally, J.: On the associated graded ring of a local Cohen-Macaulay ring. J. Math. Kyoto Univ.17, 19–21 (1977)

    Google Scholar 

  16. Sally, J.: Cohen-Macaulay local rings of maximal embedding dimension. J. of Algebra56, 168–183 (1979)

    Google Scholar 

  17. Schenzel, P.: Über die freien Auflösungen extremaler Cohen-Macaulay-Ringe. J. of Algebra64, 93–101 (1980)

    Google Scholar 

  18. Vetter, U.: Generische determinantielle Singularitäten: Homologische Eigenschaften des Derivationenmoduls, Manuscripta Math.45, 161–191 (1984)

    Google Scholar 

  19. Waldi, R.: Vollständige Durchschnitte in Cohen-Macaulay-Ringen. Arch. Math.31, 439–442 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Northwestern University, 60201, Evanston, Illinois, USA

    Bernd Ulrich

Authors
  1. Bernd Ulrich
    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

Ulrich, B. Gorenstein rings and modules with high numbers of generators. Math Z 188, 23–32 (1984). https://doi.org/10.1007/BF01163869

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01163869

Keywords

Search

Navigation