A note on projective modules over real affine algebras

Mathematics – Commutative Algebra

Scientific paper

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11 pages

Scientific paper

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

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