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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1977 Volume 102(144), Number 4, Pages 537–550 (Mi sm2697)

This article is cited in 78 papers

On stably free modules

A. A. Suslin


Abstract: In this paper we show that if $A$ is an affine algebra of dimension $n$ over an algebraically closed field, then each stably free module whose rank is greater than or equal to $n$ is free. We also obtain some results on orbits of unimodular rows.
Bibliography: 17 titles.

UDC: 513.015.7

MSC: Primary 13C10, 15A09; Secondary 16A54, 18F25

Received: 30.07.1976


 English version:
Mathematics of the USSR-Sbornik, 1977, 31:4, 479–491

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