Cancellation of projective modules over non-Noetherian rings
Commutative Algebra
2013-04-24 v2
Abstract
Let R be a ring of dimension d and A be one of R[Y] or R[Y,Y^{-1}]. If P is a projective A-module of rank \geq d+1 satisfying some condition, then we show that E(A\oplus P) acts transitively on Um(A\oplus P). When P is free, this result is due to Yengui (when A=R[Y]) and Abedelfatah (when A=R[Y,Y^{-1}]).
Keywords
Cite
@article{arxiv.1212.6860,
title = {Cancellation of projective modules over non-Noetherian rings},
author = {Manoj K. Keshari},
journal= {arXiv preprint arXiv:1212.6860},
year = {2013}
}