Isotropy and Factorization in Reduced Witt Rings

Authors

Robert W. Fitzgerald, Southern Illinois University CarbondaleFollow

Comments

Published in Documenta Math. (Quadratic Forms LSU), Extra Volume, Proceedings of the Conference, 141-163.

Abstract

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.

Recommended Citation

Fitzgerald, Robert W. "Isotropy and Factorization in Reduced Witt Rings." (Mar 2001).