Rings of low rank with a standard involution
Number Theory
2010-09-08 v2 Rings and Algebras
Abstract
We consider the problem of classifying (possibly noncommutative) R-algebras of low rank over an arbitrary base ring R. We first classify algebras by their degree, and we relate the class of algebras of degree 2 to algebras with a standard involution. We then investigate a class of exceptional rings of degree 2 which occur in every rank n >= 1 and show that they essentially characterize all algebras of degree 2 and rank 3.
Cite
@article{arxiv.1003.3512,
title = {Rings of low rank with a standard involution},
author = {John Voight},
journal= {arXiv preprint arXiv:1003.3512},
year = {2010}
}
Comments
17 pages; minor revisions