A note on quillen’s paper “projective modules over polynomial rings”

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Abstract

We give a simplified proof to the following theorem due to D. Quillen: if A is a commutative noetherian ring of global dimension < 1, then finitely generated prqjective modules over A[TX,., Tn] are extended from A. We prove also that if A is a commutative noetherian ring of global dimension d, then finitely generated projective modules of rank > d over A[TX,., Tn] are extended from A.

Original languageEnglish
Pages (from-to)231-232
Number of pages2
JournalProceedings of the American Mathematical Society
Volume64
Issue number2
DOIs
StatePublished - Jun 1977
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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