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On the Bass-Quillen conjecture concerning projective modules over polynomial rings. (English) Zbl 0477.13006


MSC:

13C10 Projective and free modules and ideals in commutative rings
13F20 Polynomial rings and ideals; rings of integer-valued polynomials
14A05 Relevant commutative algebra
13B30 Rings of fractions and localization for commutative rings
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References:

[1] Bass, H.: Some problems in ?classical? algebraicK-theory, In: AlgebraicK-theory II. Springer Lecture Notes in Math.342, 1-70 (1972)
[2] Lindel, H.: Projektive Moduln über PolynomringenA[T 1, ..., Tn] mit regulärem GrundringA. Manuscripta Math.23, 143-154 (1978) · Zbl 0369.13007
[3] Lindel, H.: Projektive Moduln über Polynomringen. Habilitationsschrift. Münster 1980 · Zbl 0435.13006
[4] Matsumura, H.: Commutative Algebra. In: Math. Lectures Notes Series. New York: W.A. Benjamin 1970 · Zbl 0211.06501
[5] Quillen, D.: Projective modules over polynomial rings. Invent. Math.36, 167-171 (1976) · Zbl 0337.13011
[6] Raynaud, M.: Anneaux Locaux Henséliens. Springer Lecture Notes in Math.169 (1970) · Zbl 0203.05102
[7] Roitman, M.: On projective modules over polynomial rings. J. Algebra58, 51-63 (1979) · Zbl 0437.13003
[8] Serre, J.P.: Faisceaux algebriques coherents. Ann. Math.61, 191-278 (1955) · Zbl 0067.16201
[9] Suslin, A.A.: Projective modules over a polynomial ring are free. Dokl. Akad. Nauk.229 (1976) (=Soviet Math. Dokl.17, 1160-1164) · Zbl 0354.13010
[10] Vorst, A.C.F.: The general linear group of polynomial rings over regular rings. Report of the Erasmus University Rotterdam 1980 · Zbl 0453.20042
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