Skip to main content
Log in

On the dimension and integrality of symmetric algebras

  • 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

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

References

  1. Andrade, J.F., Simis, A.: A complex that resolves the ideal of minorsn-1 columns in common. Proc. Amer. Math. Soc.81, 217–219 (1981)

    Google Scholar 

  2. Aoyama, Y.: A remark on almost complete intersections. Manuscripta Math.22, 225–228 (1977)

    Google Scholar 

  3. Avramov, L., Herzog, J.: The Koszul algebra of a codimension 2 embedding. Math. Z.175, 249–260 (1980)

    Google Scholar 

  4. Brodmann, M.: Rees rings and form rings of almost complete intersections. Preprint

  5. Buchsbaum, D.A., Eisenbud, D.: What makes a complex exact? J. Algebra25, 259–268 (1973)

    Google Scholar 

  6. Davis, E.: Ideals of the principal class,R-sequences and a certain monoidal transformation. Pacific J. Math.20, 197–205 (1967)

    Google Scholar 

  7. Eagon, J.A., Northcott, D.G.: Ideals defined by matrices and a certain complex associated with them. Proc. Roy. Soc. Ser. A269, 188–204 (1962)

    Google Scholar 

  8. Gulliksen, T., Levin, G.: Homology of Local Rings. Queen's Papers in Pure and Applied Mathematics.20, Kingston: Queen's University 1969

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  11. Hochster, M., Ratliff, L.J., Jr.: Five theorems on Macaulay rings. Pacific J. Math.,44, 147–172 (1973)

    Google Scholar 

  12. Huneke, C.: On the symmetric algebra of a module. Preprint

  13. Huneke, C.: Symbolic powers of primes and special graded algebras. Preprint

  14. Kaplansky, I.: Commutative Rings. Boston: Allyn and Bacon, 1970

    Google Scholar 

  15. Matsuoka, T.: On almost complete intersections. Manuscripta Math.21, 329–340 (1977)

    Google Scholar 

  16. Micali, A.: Algèbres intègres et sans torsion. Bull. Soc. Math. France94, 5–14 (1966)

    Google Scholar 

  17. Micali, A., Salmon, P., Samuel, P.: Integrité et factorialité des algèbres symétriques. In: Atas do IV Coloquio Brasileiro de Matematica (Sao Paulo 1965), pp. 61–67

  18. Samuel, P.: Anneaux gradués factoriels et modules réflexifs. Bull. Soc. Math. France92, 237–249 (1964)

    Google Scholar 

  19. Simis, A., Vasconcelos, W.V.: The syzygies of the conormal module Amer. J. Math. (to appear)

  20. Valla, G.: On the symmetric and Rees algebras of an ideal. Manuscripta Math.30, 239–255 (1980)

    Google Scholar 

  21. Vasconcelos, W.V.: The conormal bundle of an ideal. Atas da V. Escola de Algebra. IMPA (Rio de Janeiro, 1979) pp. 111–166

  22. Vasconcelos, W.V.: On the homology ofI/I 2. Comm. Algebra6, 1801–1809 (1978)

    Google Scholar 

  23. Weyman, J.: Resolutions of the exterior and symmetric powers of a module. J. Algebra58, 333–341 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The second named author was partially supported by a National Science Foundation grant.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Simis, A., Vasconcelos, W.V. On the dimension and integrality of symmetric algebras. Math Z 177, 341–358 (1981). https://doi.org/10.1007/BF01162067

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01162067

Keywords

Navigation