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

Research output: Contribution to journalArticle

47 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)937-1001
Number of pages65
JournalMathematics of the USSR - Izvestija
Volume10
Issue number5
DOIs
StatePublished - Oct 31 1976

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Algebraic Theory
Projective Module
Polynomial ring
Arbitrary
Coefficient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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title = "Serre’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.",
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Serre’s problem on projective modules over polynomial rings, and algebraic-theory. / VaserŠteĭn, L. N.

In: Mathematics of the USSR - Izvestija, Vol. 10, No. 5, 31.10.1976, p. 937-1001.

Research output: Contribution to journalArticle

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