Hilbert 90 for Algebras with Conjugation

Details Hilbert 90 for Algebras with Conjugation Hilbert 90 for Algebras with Conjugation

2009-05-14

arxiv.org/abs/0905.2283v1

Mathematics

Rings and Algebras

15 pages

Scientific paper

We show a version of Hilbert 90 that is valid for a large class of algebras
many of which are not commutative, distributive or associative. This class
contains the nth iteration of the Conway-Smith doubling procedure. We use our
version of Hilbert 90 to parametrize all solutions in ordered fields to the
norm one equation for such algebras.

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