The dimension and components of symmetric algebras

  title={The dimension and components of symmetric algebras},
  author={Craig Huneke and Maria Evelina Rossi},
  • Craig Huneke, Maria Evelina Rossi
  • Published 1986
  • Mathematics
  • Let R be a commutative Noetherian ring and let A4 be any finitely generated R-module. In this paper we compute the dimension of S(M), the symmetric algebra of M, and identify many of the components of S(M). While the computation of the dimension of S(M) is not difficult, the answer is intriguing and in view of the recent interest in symmetric algebras we hope the computation will be useful. The dimension is given by the for- mula, dim S(M)= max {dim R/p+p(M,)}. 

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