Cancellation theorems for projective modules over a two-dimensional ring and its polynomial extensions

Bhatwadekar, S. M. (2001) Cancellation theorems for projective modules over a two-dimensional ring and its polynomial extensions Compositio Mathematica, 128 (3). pp. 339-359. ISSN 0010-437X

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Related URL: http://dx.doi.org/10.1023/A:1011839525245

Abstract

We show that over polynomial extensions of normal affine domains of dimension two over perfect fields (char. [not equal] 2) of cohomological dimension [less-than-or-eq, slant] 1, all finitely generated projective modules are cancellative, thus answering a question of Weibel affirmatively in the case of polynomial extensions.

Item Type:Article
Source:Copyright of this article belongs to London Mathematical Society.
Keywords:Projective modules; Polynomial extensions; Symplectic cancellation
ID Code:3217
Deposited On:11 Oct 2010 09:57
Last Modified:16 May 2016 14:04

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