manuscripta mathematica

, Volume 37, Issue 1, pp 49–60

On the symmetric algebra of an ideal

  • Michael Kühl

DOI: 10.1007/BF01239944

Cite this article as:
Kühl, M. Manuscripta Math (1982) 37: 49. doi:10.1007/BF01239944


The symmetric algebra of an ideal I may be compared to the Rees algebra via the canonical epimorphism α:Sym(I)→R(I). A necessary and sufficient criterion is given for a to be an isomorphism, and sequential conditions on the symmetric algebra are studied. Some applications are given to Proj α:ProjR(I)→Pro'j Sym(I) and to the theory of approximation complexes.

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Michael Kühl
    • 1
  1. 1.Fachbereich MathematikUniversität EssenEssen 1West-Germany

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