English

Hilbert 90 for Algebras with Conjugation

Rings and Algebras 2009-05-15 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0905.2283,
  title  = {Hilbert 90 for Algebras with Conjugation},
  author = {Patrik Lundström},
  journal= {arXiv preprint arXiv:0905.2283},
  year   = {2009}
}

Comments

15 pages

R2 v1 2026-06-21T13:02:08.828Z