Characterizing quaternion rings over an arbitrary base
Number Theory
2011-04-21 v5
Abstract
We consider the class of algebras of rank 4 equipped with a standard involution over an arbitrary base ring. In particular, we characterize quaternion rings, those algebras defined by the construction of the even Clifford algebra.
Cite
@article{arxiv.0904.4310,
title = {Characterizing quaternion rings over an arbitrary base},
author = {John Voight},
journal= {arXiv preprint arXiv:0904.4310},
year = {2011}
}
Comments
19 pages; typos fixed and corrections made