Quillen, Daniel Projective modules over polynomial rings. (English) Zbl 0337.13011 Invent. Math. 36, 167-171 (1976). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 17 ReviewsCited in 309 Documents MathOverflow Questions: Are finite projective modules over \(R[t]\) free when \(R\) is DVR? MSC: 13C10 Projective and free modules and ideals in commutative rings 13F20 Polynomial rings and ideals; rings of integer-valued polynomials 13D15 Grothendieck groups, \(K\)-theory and commutative rings × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] Bass, H.: Some problems in ?classical? algebraicK-theory, AlgebraicK-theory II. Lecture Notes in Math.342 pp. 3-73. Berlin-Heidelberg-New York: Springer 1973 [2] Bass, H.: Libération des modules projectifs sur certains anneaux de polynômes. Séminaire Bourbaki, 1973/74, n0 448. Lecture Notes in Math.431, pp. 228-254. Berlin-Heidelberg-New York: Springer 1975 [3] Horrocks, G.: Projective modules over an extension of local ring. Proc. London Math. Soc.14(3), 714-718 (1964) · Zbl 0132.28103 · doi:10.1112/plms/s3-14.4.714 [4] Murthy, M.P.: ProjectiveA[x]-modules. Jour. London Math. Soc.41, 453-456 (1966) · Zbl 0142.01001 · doi:10.1112/jlms/s1-41.1.453 [5] Serre, J.P.: Faisceaux algébriques cohérents. Ann. Math.61, 197-278 (1955) · Zbl 0067.16201 · doi:10.2307/1969915 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.