Projective modules over the real algebraic sphere of dimension 3

Fasel, J.2011-12-162011-12-162011-12-16201010.1016/j.jalgebra.2010.09.039https://infoscience.epfl.ch/handle/20.500.14299/74900WOS:000285213600002Let A be a commutative noetherian ring of Krull dimension 3. We give a necessary and sufficient condition for A-projective modules of rank 2 to be free. Using this, we show that all the finitely generated projective modules over the algebraic real 3-sphere are free. (C) 2010 Elsevier Inc. All rights reserved.Algebraic K-theoryQuadratic formsProjective modulesWitt GroupsQuadratic-FormsVector-BundlesSequenceSchemesProjective modules over the real algebraic sphere of dimension 3text::journal::journal article::research article