Serre’s problem on projective modules over polynomial rings, and algebraic-theory

L. N. VaserŠteĭn

doi:10.1070/IM1976v010n05ABEH001822

Serre’s problem on projective modules over polynomial rings, and algebraic-theory

L. N. VaserŠteĭn

Mathematics

Research output: Contribution to journal › Article › peer-review

68 Scopus citations

Abstract

We obtain new results on the freeness of projective modules over polynomial rings. In particular we prove the freeness of all projective modules over polynomial rings in five variables with coefficients from an arbitrary field.

Original language	English (US)
Pages (from-to)	937-1001
Number of pages	65
Journal	Mathematics of the USSR - Izvestija
Volume	10
Issue number	5
DOIs	https://doi.org/10.1070/IM1976v010n05ABEH001822
State	Published - Oct 31 1976

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1070/IM1976v010n05ABEH001822

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title = "Serre{\textquoteright}s problem on projective modules over polynomial rings, and algebraic-theory",

abstract = "We obtain new results on the freeness of projective modules over polynomial rings. In particular we prove the freeness of all projective modules over polynomial rings in five variables with coefficients from an arbitrary field.",

author = "Vaser{\v S}teĭn, {L. N.}",

year = "1976",

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AU - VaserŠteĭn, L. N.

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N2 - We obtain new results on the freeness of projective modules over polynomial rings. In particular we prove the freeness of all projective modules over polynomial rings in five variables with coefficients from an arbitrary field.

AB - We obtain new results on the freeness of projective modules over polynomial rings. In particular we prove the freeness of all projective modules over polynomial rings in five variables with coefficients from an arbitrary field.

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ER -

Serre’s problem on projective modules over polynomial rings, and algebraic-theory

Abstract

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