A note on cancellation of projective modules
Commutative Algebra
2014-08-13 v3 K-Theory and Homology
Abstract
Let be a ring of dimension . Assume that for every finite extension ring of , 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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Cite
@article{arxiv.1011.5079,
title = {A note on cancellation of projective modules},
author = {Alpesh M. Dhorajia and Manoj K. Keshari},
journal= {arXiv preprint arXiv:1011.5079},
year = {2014}
}
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6 page