On a question of Quillen

Authors:
S. M. Bhatwadekar and R. A. Rao

Journal:
Trans. Amer. Math. Soc. **279** (1983), 801-810

MSC:
Primary 13C10; Secondary 13H05, 18G05

MathSciNet review:
709584

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Abstract: Let be a regular local ring, and a regular parameter of . Quillen asked whether every projective -module is free. We settle this question when is a regular local ring of an affine algebra over a field . Further, if has *infinite* residue field, we show that projective modules over Laurent polynomial extensions of are also free.

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DOI:
https://doi.org/10.1090/S0002-9947-1983-0709584-1

Article copyright:
© Copyright 1983
American Mathematical Society