## Projective modules over polynomial rings.(English)Zbl 0337.13011

### 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
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### 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 [4] Murthy, M.P.: ProjectiveA[x]-modules. Jour. London Math. Soc.41, 453-456 (1966) · Zbl 0142.01001 [5] Serre, J.P.: Faisceaux algébriques cohérents. Ann. Math.61, 197-278 (1955) · Zbl 0067.16201
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