Skip to main content
Log in

On symmetric algebras which are Cohen Macaulay

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

We give some necessary and sufficient conditions for SA(m) being Cohen-Macaulay, where SA(m) is the Symmetric algebra of the maximal ideal of an homomorphic image A of a regular local ring.

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.

Similar content being viewed by others

References

  1. EAGON,J.A., NORTHCOTT,D.G.: Ideals defined by matrices and a certain complex associated with them. Proc. Royal Soc. A269, 188–204 (1962)

    Google Scholar 

  2. KAPLANSKY,I.: Commutative Rings. The University of Chicago Press.1974

  3. MICALI,A.: Sur les algebres universelles (Thesis). Ann. Inst. Fourier Grenoble.14, 33–88 (1964)

    Google Scholar 

  4. REES,D.: A note on form rings and ideals. Mathematika4, 51–60 (1957)

    Google Scholar 

  5. ROBBIANO,L., VALLA,G.: Teoria della piattezza normale: alcuni aspetti e problemi. Seminario dell' Istituto di Matematica di Genova,8 (1978)

  6. ROSSI,M.E.: Sulle algebre di Rees e Simmetrica di un ideale (to appear)

  7. SALLY,J.: Number of generators of ideals in local rings. Dekker. New York and Basel 1978

    Google Scholar 

  8. VALABREGA,P., VALLA,G.: Form rings and regular sequences. Nagoya Math. J.72, 93–101 (1978)

    Google Scholar 

  9. VALLA,G.: Certain graded algebras are always Cohen-Macaulay. J. of Algebra42, 537–548 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper was supported by C.N.R. (Consiglio Nazionale delle Ricerche)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rossi, M.E. On symmetric algebras which are Cohen Macaulay. Manuscripta Math 34, 199–210 (1981). https://doi.org/10.1007/BF01165536

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01165536

Keywords

Navigation