This article is cited in 11 papers

On projective modules over polynomial rings

A. A. Suslin


Abstract: We prove that every projective module of rank greater than $\frac{n+1}2$ over the ring $k[X_1,\dots,X_n]$ is free if $k$ is an infinite field.
Bibliography: 5 titles.

UDC: 513.015.7

MSC: Primary 13C10; Secondary 14F05, 18F25

Received: 04.06.1973

 English version: Mathematics of the USSR-Sbornik, 1974, 22:4, 595–602

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