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Torsion-Free Modules over Reduced Witt Rings

โœ Scribed by Robert W. Fitzgerald

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
164 KB
Volume
231
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

We compute the genus class group of a torsion-free module over a reduced Witt ring of finite stability index. This is applied to modules locally isomorphic to odd degree extensions of formally real fields.

๐Ÿ“œ SIMILAR VOLUMES

Projective Modules over Witt Rings
Projective Modules over Witt Rings
โœ Robert W. Fitzgerald ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 250 KB

For several classes of commutative rings R it is known that every finitely generated projective R-modules is isomorphic to a direct sum of a free w x R-module and an invertible ideal of R. For instance, Steinitz 27 essenw x tially proved this for Dedekind domains. Serre 25 proved the same result for