Cancellation of projective modules over non-Noetherian rings

2012/12/31 by Keshari, Manoj K.
#13C10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1212.6860

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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