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Full-Text Articles in Number Theory
Isotropy And Factorization In Reduced Witt Rings, Robert W. Fitzgerald
Isotropy And Factorization In Reduced Witt Rings, Robert W. Fitzgerald
Articles and Preprints
We consider reduced Witt rings of finite chain length. We show there is a bound, in terms of the chain length and maximal signature, on the dimension of anisotropic, totally indefinite forms. From this we get the ascending chain condition on principal ideals and hence factorization of forms into products of irreducible forms.
Torsion-Free Modules Over Reduced Witt Rings, Robert W. Fitzgerald
Torsion-Free Modules Over Reduced Witt Rings, Robert W. Fitzgerald
Articles and Preprints
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.