Projective modules over Laurent polynomial rings

Swan, Richard G.

doi:10.1090/S0002-9947-1978-0469906-4

Projective modules over Laurent polynomial rings

Author: Richard G. Swan
Journal: Trans. Amer. Math. Soc. 237 (1978), 111-120
MSC: Primary 13C10; Secondary 13F20, 14F05
DOI: https://doi.org/10.1090/S0002-9947-1978-0469906-4
MathSciNet review: 0469906
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Abstract: Quillen's solution of Serre's problem is extended to Laurent polynomial rings. An example is given of a $A[T,{T^{ - 1}}]$ -module P which is not extended even though A is regular and ${P_\mathfrak{m}}$ is extended for all maximal ideals $\mathfrak{m}$ of A.

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