Mal'cev-Neumann rings and noncrossed product division algebras
Rings and Algebras
2011-03-03 v1
Abstract
We first give a sufficient condition for a Mal'cev-Neumann ring of formal series to be a noncrossed product division algebra. This result is then used to give an elementary proof of the existence of noncrossed product division algebras (of degree 8 or degree p^2 for p any odd prime).
Keywords
Cite
@article{arxiv.1103.0470,
title = {Mal'cev-Neumann rings and noncrossed product division algebras},
author = {Cécile Coyette},
journal= {arXiv preprint arXiv:1103.0470},
year = {2011}
}
Comments
10 pages, submitted to Journal of Algebra and its Applications (JAA)