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Cancellation of projective modules over non-Noetherian rings

Published 31 Dec 2012 in math.AC | (1212.6860v2)

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}]).

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Authors (1)

  1. Manoj K. Keshari 

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