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 language | English |
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Pages (from-to) | 231-232 |
Number of pages | 2 |
Journal | Proceedings of the American Mathematical Society |
Volume | 64 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1977 |
Externally published | Yes |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics