Skip to main content
Log in

Über homologische Invarianten lokaler Ringe

  • 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

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

Instant access to the full article PDF.

Literatur

  1. Assmus Jr., E. F.: On the homology of local rings. Illinois J. Math.3, 187–199 (1959).

    Google Scholar 

  2. Auslander, M., and D. A. Buchsbaum: Codimension and multiplicity. Ann. of Math.68, 625–657 (1958).

    Google Scholar 

  3. Bass, H.: On the ubiquity of Gorensteinrings. Math. Z.82, 8–28 (1963).

    Google Scholar 

  4. Berger, R.: Differentialmoduln eindimensionaler lokaler Ringe. Math. Z.81, 326–354 (1963).

    Google Scholar 

  5. Bourbaki, N.: Algèbre commutative. Chapitre 7: Diviseurs. Paris: Hermann 1965.

    Google Scholar 

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

    Google Scholar 

  7. Kunz, E.: Vollständige Durchschnitte und Differenten. Arch. Math.19, 47–58 (1968).

    Google Scholar 

  8. Nagata, M.: Local rings. Interscience tracts in math. New York: Intersc. Publ. 1962.

    Google Scholar 

  9. Sakuma, M., and H. Okuyama: On the Betti series of local rings. J. Math., Tokushima Univ.1, 1–10 (1967).

    Google Scholar 

  10. Scheja, G.: Über die Bettizahlen lokaler Ringe. Math. Ann.155, 155–172 (1964).

    Google Scholar 

  11. -- Beiträge zur Syzygientheorie der geometrischen und abstrakten lokalen Ringe. Habilitationsschrift Münster 1962.

  12. Serre, J. P.: Sur la dimension homologique des anneaux et des modules noethériens. Proc. Int. Symp. on Algebraic Number Theory, Tokyo. 175–189 (1955).

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

    Google Scholar 

  14. Uehara, H.: Homological invariants of local rings. Nagoya Math. J.22, 219–227 (1963).

    Google Scholar 

  15. Wiebe, H.: Bettizahlen lokaler Ringe. Dissertation Münster 1967.

    Google Scholar 

  16. Zariski, O., and P. Samuel: Commutative algebra, Vol. 1, Vol. 2. Princeton: D. van Nostrand 1958, 1960.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Herrn Professor Dr. Dr. h. c. H. Behnke zum 70. Geburtstag gewidmet

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wiebe, H. Über homologische Invarianten lokaler Ringe. Math. Ann. 179, 257–274 (1969). https://doi.org/10.1007/BF01350771

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01350771

Navigation