The Elman-Lam-Krüskemper Theorem. (28th June 2011)

• Record Type: Journal Article
• Authors: Becher, Karim Johannes; Leep, David B.
• Other Names: Herbera D. Academic Editor.; You H. Academic Editor.
• Is Part Of: ISRN algebra. Volume 2011(2011)
• Publication Date: 2011-06-28
• Subjects: Algebra -- Periodicals; Algebra; Periodicals; Electronic journals; 512
• DOI: 10.5402/2011/106823
• Languages: English
• ISSNs: 2090-6285

Abstract

Abstract : For a (formally) real fieldK, the vanishing of a certain power of the fundamental ideal in the Witt ring ofK ( - 1 ) implies that the same power of the fundamental ideal in the Witt ring ofK is torsion free. The proof of this statement involves a fact on the structure of the torsion part of powers of the fundamental ideal in the Witt ring ofK . This fact is very difficult to prove in general, but has an elementary proof under an assumption on the stability index ofK . We present an exposition of these results.