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arXiv · 1011.5079

A note on cancellation of projective modules

Alpesh M. Dhorajia·Manoj K. Keshari
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Abstract

Let $A$ be a ring of dimension $d$. Assume that for every finite extension ring $R$ of $A$, E_{d+1}(R) acts transitively on Um_{d+1}(R). Then we prove that E(A\oplus P) acts transitively on Um(A\oplus P), for any projective A-module P of rank d. As a consequence of this, we generalise some results of Gubeladze.

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BibTeXRIS

Alpesh M. Dhorajia, Manoj K. Keshari. 2011-03-08. A note on cancellation of projective modules. https://arxiv.org/abs/1011.5079

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