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Cancellation Theorems for Projective Modules over a Two-Dimensional Ring and its Polynomial Extensions

Published online by Cambridge University Press:  04 December 2007

S. M. Bhatwadekar
S. M. Bhatwadekar
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400 005, India. E-mail: smb@math.tifr.res.in
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Abstract

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We show that over polynomial extensions of normal affine domains of dimension two over perfect fields (char. ≠ 2) of cohomological dimension [les ] 1, all finitely generated projective modules are cancellative, thus answering a question of Weibel affirmatively in the case of polynomial extensions.

Keywords

projective modulespolynomial extensionssymplectic cancellation

Information

Type
Research Article
Information
Compositio Mathematica , Volume 128 , Issue 3 , September 2001 , pp. 339 - 359
Copyright
© 2001 Kluwer Academic Publishers