Cancellation of projective modules over non-Noetherian rings
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 ≥ d+1 satisfying some condition, then we show that E(A P) acts transitively on Um(A 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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