Hostname: page-component-7c8c6479df-27gpq Total loading time: 0 Render date: 2024-03-27T16:54:34.581Z Has data issue: false hasContentIssue false

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
Affiliation:
School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai-400 005, India. E-mail: smb@math.tifr.res.in
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Copyright
© 2001 Kluwer Academic Publishers