UVM Theses and Dissertations
Format:
Print
Author:
Levin, Alex S. E.
Dept./Program:
Mathematics
Year:
2013
Degree:
MS
Abstract:
We classify (possibly noncommutative) algebras of low rank over a domain R. We first review results for algebras of rank 2 and for finite-dimensional division algebras over R. These results motivate us to consider which algebras possess a standard involution. Our main result is that algebras of rank 3 are either commutative or possess a standard involution.