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Serre's Conjecture: Finitely generated projective modules over polynomial rings
Norwegian University of Science and Technology, Faculty of Information Technology, Mathematics and Electrical Engineering, Department of Mathematical Sciences.
2013 (English)MasteroppgaveStudent thesis
Abstract [en]

We start by proving that all finitely generated projective R-modules, where R=k[x(1),...,x(n)] and k is a field, are stably free. Then we show that all stably free projective modules over a ring with the unimodular column property are free before showing that the polynomial ring R has the unimodular column property.

Place, publisher, year, edition, pages
Institutt for matematiske fag , 2013. , 71 p.
URN: urn:nbn:no:ntnu:diva-24053Local ID: ntnudaim:9385OAI: diva2:696085
Available from: 2014-02-12 Created: 2014-02-12 Last updated: 2014-02-12Bibliographically approved

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