A note on projective modules over real affine algebras

2004/11/05 by Manoj Kumar Keshari
Mathematics · #math.AC #msc:13C10

paper · pdf

published as J. Alg 278(2004) 628-637 · 11 pages

arxiv created 2004/11/05 · arxiv updated 2009/12/01

Abstract

Let A be an affine algebra over the field of real numbers of dimension d. Let f ∈ A be an element not belonging to any real maximal ideal of A. Let P be a projective A-module of rank ≥ d-1. Let (a,p) ∈ A_f ⊕ P_f be a unimodular element. Then the projective A_f module Q=A_f ⊕ P_f/(a,p)A_f is extended from A.

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