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A note on projective modules over real affine algebras

Commutative Algebra 2007-05-23 v1

Abstract

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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Cite

@article{arxiv.math/0411124,
  title  = {A note on projective modules over real affine algebras},
  author = {Manoj Kumar Keshari},
  journal= {arXiv preprint arXiv:math/0411124},
  year   = {2007}
}

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11 pages