A cancellation theorem for projective modules over affine algebras over C1-fields

Bhatwadekar, S. M. (2003) A cancellation theorem for projective modules over affine algebras over C1-fields Journal of Pure and Applied Algebra, 183 (1-3). pp. 17-26. ISSN 0022-4049

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00224...

Related URL: http://dx.doi.org/10.1016/S0022-4049(03)00038-0

Abstract

Let k be a C1-field of characteristic zero. Let A be an affine algebra of dimension d greater or equal 2 over k. In this set up, Suslin proved that the free module Ad is cancellative (in other words, stably free A-modules of rank d are free). In this note we show that, in fact, all finitely generated projective A-modules of rank d are cancellative.

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