Projective modules over polynomial rings. (English) Zbl 0337.13011


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
Full Text: DOI EuDML


[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
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.