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Polynomial rings and their projective modules

Published online by Cambridge University Press:  22 January 2016

Dorin Popescu
Dorin Popescu*
Affiliation:
Mathematics Department INCREST, Bucharest 79622, Romania
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Let R be a regular noetherian ring. A central question concerning projective modules over polynomial R-algebras is the following.

(1.1) BASS-QUILLEN CONJECTURE ([2] Problem IX, [10]). Every finitely generated projective module P over a polynomial R-algebra R[T], T = (T1,…, Tn) is extended from R, i.e.

P≊R[T]⊗R P/(T)P.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 113 , March 1989 , pp. 121 - 128
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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