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math.AC2010
A note on cancellation of projective modules
Alpesh M. Dhorajia, Manoj K. Keshari
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 transi…
math.AC2010
Projective modules over overrings of polynomial rings
Alpesh M. Dhorajia, Manoj K. Keshari
Let A be a commutative Noetherian ring of dimension d and let P be a projective R=A[X_1,\ldots,X_l,Y_1,\ldots,Y_m,\frac {1}{f_1\ldots f_m}]-module of rank r\geq max {2,dim A+1, whe…